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Finding the Fourth Proportional to 337.10, 464.72 and 332.48

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Solution

The fourth proportional to 337.10, 464.72 and 332.48 is: 458.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.10 : 464.72 = 332.48 : x
  2. Step 2: Convert to fraction form
    337.10/464.72 = 332.48/x
  3. Step 3: Cross multiply
    337.10x = 464.72 × 332.48
  4. Step 4: Simplify right side
    337.10x = 154,510.77
  5. Step 5: Solve for x
    x = 154,510.77/337.10
  6. Step 6: Final answer
    x = 458.35

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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.