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Finding the Fourth Proportional to 510.52, 706.44 and 466.80

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Solution

The fourth proportional to 510.52, 706.44 and 466.80 is: 645.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.52 : 706.44 = 466.80 : x
  2. Step 2: Convert to fraction form
    510.52/706.44 = 466.80/x
  3. Step 3: Cross multiply
    510.52x = 706.44 × 466.80
  4. Step 4: Simplify right side
    510.52x = 329,766.19
  5. Step 5: Solve for x
    x = 329,766.19/510.52
  6. Step 6: Final answer
    x = 645.94

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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.