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Finding the Fourth Proportional to 456.86, 630.20 and 374.30

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Solution

The fourth proportional to 456.86, 630.20 and 374.30 is: 516.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.86 : 630.20 = 374.30 : x
  2. Step 2: Convert to fraction form
    456.86/630.20 = 374.30/x
  3. Step 3: Cross multiply
    456.86x = 630.20 × 374.30
  4. Step 4: Simplify right side
    456.86x = 235,878.84
  5. Step 5: Solve for x
    x = 235,878.84/456.86
  6. Step 6: Final answer
    x = 516.31

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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.