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Finding the Fourth Proportional to 352, 488.01 and 332.56

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Solution

The fourth proportional to 352, 488.01 and 332.56 is: 461.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    352 : 488.01 = 332.56 : x
  2. Step 2: Convert to fraction form
    352/488.01 = 332.56/x
  3. Step 3: Cross multiply
    352x = 488.01 × 332.56
  4. Step 4: Simplify right side
    352x = 162,292.61
  5. Step 5: Solve for x
    x = 162,292.61/352
  6. Step 6: Final answer
    x = 461.06

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.