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Finding the Fourth Proportional to 557.14, 767.96 and 464.20

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Solution

The fourth proportional to 557.14, 767.96 and 464.20 is: 639.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.14 : 767.96 = 464.20 : x
  2. Step 2: Convert to fraction form
    557.14/767.96 = 464.20/x
  3. Step 3: Cross multiply
    557.14x = 767.96 × 464.20
  4. Step 4: Simplify right side
    557.14x = 356,487.03
  5. Step 5: Solve for x
    x = 356,487.03/557.14
  6. Step 6: Final answer
    x = 639.85

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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.