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Finding the Fourth Proportional to 474.39, 710.06 and 429.48

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Solution

The fourth proportional to 474.39, 710.06 and 429.48 is: 642.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.39 : 710.06 = 429.48 : x
  2. Step 2: Convert to fraction form
    474.39/710.06 = 429.48/x
  3. Step 3: Cross multiply
    474.39x = 710.06 × 429.48
  4. Step 4: Simplify right side
    474.39x = 304,954.42
  5. Step 5: Solve for x
    x = 304,954.42/474.39
  6. Step 6: Final answer
    x = 642.83

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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.