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Finding the Fourth Proportional to 495.38, 742.58 and 322.16

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Solution

The fourth proportional to 495.38, 742.58 and 322.16 is: 482.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.38 : 742.58 = 322.16 : x
  2. Step 2: Convert to fraction form
    495.38/742.58 = 322.16/x
  3. Step 3: Cross multiply
    495.38x = 742.58 × 322.16
  4. Step 4: Simplify right side
    495.38x = 239,227.96
  5. Step 5: Solve for x
    x = 239,227.96/495.38
  6. Step 6: Final answer
    x = 482.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.