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Finding the Fourth Proportional to 475.13, 712.77 and 292.28

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Solution

The fourth proportional to 475.13, 712.77 and 292.28 is: 438.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.13 : 712.77 = 292.28 : x
  2. Step 2: Convert to fraction form
    475.13/712.77 = 292.28/x
  3. Step 3: Cross multiply
    475.13x = 712.77 × 292.28
  4. Step 4: Simplify right side
    475.13x = 208,323.76
  5. Step 5: Solve for x
    x = 208,323.76/475.13
  6. Step 6: Final answer
    x = 438.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.