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Finding the Fourth Proportional to 466.52, 702.93 and 387.14

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Solution

The fourth proportional to 466.52, 702.93 and 387.14 is: 583.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.52 : 702.93 = 387.14 : x
  2. Step 2: Convert to fraction form
    466.52/702.93 = 387.14/x
  3. Step 3: Cross multiply
    466.52x = 702.93 × 387.14
  4. Step 4: Simplify right side
    466.52x = 272,130.26
  5. Step 5: Solve for x
    x = 272,130.26/466.52
  6. Step 6: Final answer
    x = 583.33

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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.