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Finding the Fourth Proportional to 499.59, 753.12 and 466.14

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Solution

The fourth proportional to 499.59, 753.12 and 466.14 is: 702.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.59 : 753.12 = 466.14 : x
  2. Step 2: Convert to fraction form
    499.59/753.12 = 466.14/x
  3. Step 3: Cross multiply
    499.59x = 753.12 × 466.14
  4. Step 4: Simplify right side
    499.59x = 351,059.36
  5. Step 5: Solve for x
    x = 351,059.36/499.59
  6. Step 6: Final answer
    x = 702.69

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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.