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Finding the Fourth Proportional to 456.90, 630.18 and 297.42

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Solution

The fourth proportional to 456.90, 630.18 and 297.42 is: 410.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.90 : 630.18 = 297.42 : x
  2. Step 2: Convert to fraction form
    456.90/630.18 = 297.42/x
  3. Step 3: Cross multiply
    456.90x = 630.18 × 297.42
  4. Step 4: Simplify right side
    456.90x = 187,428.14
  5. Step 5: Solve for x
    x = 187,428.14/456.90
  6. Step 6: Final answer
    x = 410.22

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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.