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Finding the Fourth Proportional to 518.76, 714.42 and 477.72

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Solution

The fourth proportional to 518.76, 714.42 and 477.72 is: 657.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.76 : 714.42 = 477.72 : x
  2. Step 2: Convert to fraction form
    518.76/714.42 = 477.72/x
  3. Step 3: Cross multiply
    518.76x = 714.42 × 477.72
  4. Step 4: Simplify right side
    518.76x = 341,292.72
  5. Step 5: Solve for x
    x = 341,292.72/518.76
  6. Step 6: Final answer
    x = 657.90

Related Problems

Find fourth proportional to 259.38, 357.21 and 238.86
Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.