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Finding the Fourth Proportional to 495.24, 742.74 and 322.14

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Solution

The fourth proportional to 495.24, 742.74 and 322.14 is: 483.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.24 : 742.74 = 322.14 : x
  2. Step 2: Convert to fraction form
    495.24/742.74 = 322.14/x
  3. Step 3: Cross multiply
    495.24x = 742.74 × 322.14
  4. Step 4: Simplify right side
    495.24x = 239,266.26
  5. Step 5: Solve for x
    x = 239,266.26/495.24
  6. Step 6: Final answer
    x = 483.13

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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.