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Finding the Fourth Proportional to 362.53, 540.62 and 337.92

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Solution

The fourth proportional to 362.53, 540.62 and 337.92 is: 503.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.53 : 540.62 = 337.92 : x
  2. Step 2: Convert to fraction form
    362.53/540.62 = 337.92/x
  3. Step 3: Cross multiply
    362.53x = 540.62 × 337.92
  4. Step 4: Simplify right side
    362.53x = 182,688.80
  5. Step 5: Solve for x
    x = 182,688.80/362.53
  6. Step 6: Final answer
    x = 503.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.