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Finding the Fourth Proportional to 473.93, 654.28 and 332.35

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Solution

The fourth proportional to 473.93, 654.28 and 332.35 is: 458.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.93 : 654.28 = 332.35 : x
  2. Step 2: Convert to fraction form
    473.93/654.28 = 332.35/x
  3. Step 3: Cross multiply
    473.93x = 654.28 × 332.35
  4. Step 4: Simplify right side
    473.93x = 217,451.17
  5. Step 5: Solve for x
    x = 217,451.17/473.93
  6. Step 6: Final answer
    x = 458.83

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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.