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Finding the Fourth Proportional to 508.38, 701.68 and 322.13

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Solution

The fourth proportional to 508.38, 701.68 and 322.13 is: 444.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.38 : 701.68 = 322.13 : x
  2. Step 2: Convert to fraction form
    508.38/701.68 = 322.13/x
  3. Step 3: Cross multiply
    508.38x = 701.68 × 322.13
  4. Step 4: Simplify right side
    508.38x = 226,030.46
  5. Step 5: Solve for x
    x = 226,030.46/508.38
  6. Step 6: Final answer
    x = 444.61

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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.