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Finding the Fourth Proportional to 642.55, 885.89 and 524.40

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Solution

The fourth proportional to 642.55, 885.89 and 524.40 is: 723.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.55 : 885.89 = 524.40 : x
  2. Step 2: Convert to fraction form
    642.55/885.89 = 524.40/x
  3. Step 3: Cross multiply
    642.55x = 885.89 × 524.40
  4. Step 4: Simplify right side
    642.55x = 464,560.74
  5. Step 5: Solve for x
    x = 464,560.74/642.55
  6. Step 6: Final answer
    x = 723.00

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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.