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Finding the Fourth Proportional to 456.65, 630.20 and 270.14

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Solution

The fourth proportional to 456.65, 630.20 and 270.14 is: 372.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.65 : 630.20 = 270.14 : x
  2. Step 2: Convert to fraction form
    456.65/630.20 = 270.14/x
  3. Step 3: Cross multiply
    456.65x = 630.20 × 270.14
  4. Step 4: Simplify right side
    456.65x = 170,242.23
  5. Step 5: Solve for x
    x = 170,242.23/456.65
  6. Step 6: Final answer
    x = 372.81

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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.