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Finding the Fourth Proportional to 495.99, 747.27 and 466.20

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Solution

The fourth proportional to 495.99, 747.27 and 466.20 is: 702.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.99 : 747.27 = 466.20 : x
  2. Step 2: Convert to fraction form
    495.99/747.27 = 466.20/x
  3. Step 3: Cross multiply
    495.99x = 747.27 × 466.20
  4. Step 4: Simplify right side
    495.99x = 348,377.27
  5. Step 5: Solve for x
    x = 348,377.27/495.99
  6. Step 6: Final answer
    x = 702.39

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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.