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Finding the Fourth Proportional to 592.56, 887.76 and 464.04

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Solution

The fourth proportional to 592.56, 887.76 and 464.04 is: 695.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.56 : 887.76 = 464.04 : x
  2. Step 2: Convert to fraction form
    592.56/887.76 = 464.04/x
  3. Step 3: Cross multiply
    592.56x = 887.76 × 464.04
  4. Step 4: Simplify right side
    592.56x = 411,956.15
  5. Step 5: Solve for x
    x = 411,956.15/592.56
  6. Step 6: Final answer
    x = 695.21

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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.