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Finding the Fourth Proportional to 508.63, 702.17 and 322.31

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Solution

The fourth proportional to 508.63, 702.17 and 322.31 is: 444.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.63 : 702.17 = 322.31 : x
  2. Step 2: Convert to fraction form
    508.63/702.17 = 322.31/x
  3. Step 3: Cross multiply
    508.63x = 702.17 × 322.31
  4. Step 4: Simplify right side
    508.63x = 226,316.41
  5. Step 5: Solve for x
    x = 226,316.41/508.63
  6. Step 6: Final answer
    x = 444.95

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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.