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Finding the Fourth Proportional to 508.76, 701.88 and 312.20

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Solution

The fourth proportional to 508.76, 701.88 and 312.20 is: 430.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.76 : 701.88 = 312.20 : x
  2. Step 2: Convert to fraction form
    508.76/701.88 = 312.20/x
  3. Step 3: Cross multiply
    508.76x = 701.88 × 312.20
  4. Step 4: Simplify right side
    508.76x = 219,126.94
  5. Step 5: Solve for x
    x = 219,126.94/508.76
  6. Step 6: Final answer
    x = 430.71

Related Problems

Find fourth proportional to 254.38, 350.94 and 156.10
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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.