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Finding the Fourth Proportional to 506.61, 761.76 and 466.52

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Solution

The fourth proportional to 506.61, 761.76 and 466.52 is: 701.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.61 : 761.76 = 466.52 : x
  2. Step 2: Convert to fraction form
    506.61/761.76 = 466.52/x
  3. Step 3: Cross multiply
    506.61x = 761.76 × 466.52
  4. Step 4: Simplify right side
    506.61x = 355,372.47
  5. Step 5: Solve for x
    x = 355,372.47/506.61
  6. Step 6: Final answer
    x = 701.47

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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.