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Finding the Fourth Proportional to 474.59, 707.08 and 451.33

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Solution

The fourth proportional to 474.59, 707.08 and 451.33 is: 672.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.59 : 707.08 = 451.33 : x
  2. Step 2: Convert to fraction form
    474.59/707.08 = 451.33/x
  3. Step 3: Cross multiply
    474.59x = 707.08 × 451.33
  4. Step 4: Simplify right side
    474.59x = 319,126.42
  5. Step 5: Solve for x
    x = 319,126.42/474.59
  6. Step 6: Final answer
    x = 672.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.