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Finding the Fourth Proportional to 526.10, 724.34 and 466.97

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Solution

The fourth proportional to 526.10, 724.34 and 466.97 is: 642.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.10 : 724.34 = 466.97 : x
  2. Step 2: Convert to fraction form
    526.10/724.34 = 466.97/x
  3. Step 3: Cross multiply
    526.10x = 724.34 × 466.97
  4. Step 4: Simplify right side
    526.10x = 338,242.60
  5. Step 5: Solve for x
    x = 338,242.60/526.10
  6. Step 6: Final answer
    x = 642.93

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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.