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Finding the Fourth Proportional to 514.73, 775.16 and 466.53

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Solution

The fourth proportional to 514.73, 775.16 and 466.53 is: 702.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.73 : 775.16 = 466.53 : x
  2. Step 2: Convert to fraction form
    514.73/775.16 = 466.53/x
  3. Step 3: Cross multiply
    514.73x = 775.16 × 466.53
  4. Step 4: Simplify right side
    514.73x = 361,635.39
  5. Step 5: Solve for x
    x = 361,635.39/514.73
  6. Step 6: Final answer
    x = 702.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.