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Finding the Fourth Proportional to 466.30, 702.16 and 337.18

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Solution

The fourth proportional to 466.30, 702.16 and 337.18 is: 507.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.30 : 702.16 = 337.18 : x
  2. Step 2: Convert to fraction form
    466.30/702.16 = 337.18/x
  3. Step 3: Cross multiply
    466.30x = 702.16 × 337.18
  4. Step 4: Simplify right side
    466.30x = 236,752.62
  5. Step 5: Solve for x
    x = 236,752.62/466.30
  6. Step 6: Final answer
    x = 507.73

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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.