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Finding the Fourth Proportional to 466.68, 642.32 and 373.13

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Solution

The fourth proportional to 466.68, 642.32 and 373.13 is: 513.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.68 : 642.32 = 373.13 : x
  2. Step 2: Convert to fraction form
    466.68/642.32 = 373.13/x
  3. Step 3: Cross multiply
    466.68x = 642.32 × 373.13
  4. Step 4: Simplify right side
    466.68x = 239,663.78
  5. Step 5: Solve for x
    x = 239,663.78/466.68
  6. Step 6: Final answer
    x = 513.55

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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.