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Finding the Fourth Proportional to 473.13, 652.22 and 332.79

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Solution

The fourth proportional to 473.13, 652.22 and 332.79 is: 458.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.13 : 652.22 = 332.79 : x
  2. Step 2: Convert to fraction form
    473.13/652.22 = 332.79/x
  3. Step 3: Cross multiply
    473.13x = 652.22 × 332.79
  4. Step 4: Simplify right side
    473.13x = 217,050.63
  5. Step 5: Solve for x
    x = 217,050.63/473.13
  6. Step 6: Final answer
    x = 458.75

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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.