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Finding the Fourth Proportional to 337.47, 464.32 and 263.66

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Solution

The fourth proportional to 337.47, 464.32 and 263.66 is: 362.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.47 : 464.32 = 263.66 : x
  2. Step 2: Convert to fraction form
    337.47/464.32 = 263.66/x
  3. Step 3: Cross multiply
    337.47x = 464.32 × 263.66
  4. Step 4: Simplify right side
    337.47x = 122,421.29
  5. Step 5: Solve for x
    x = 122,421.29/337.47
  6. Step 6: Final answer
    x = 362.76

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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.