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Finding the Fourth Proportional to 537.65, 742.04 and 341.74

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Solution

The fourth proportional to 537.65, 742.04 and 341.74 is: 471.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.65 : 742.04 = 341.74 : x
  2. Step 2: Convert to fraction form
    537.65/742.04 = 341.74/x
  3. Step 3: Cross multiply
    537.65x = 742.04 × 341.74
  4. Step 4: Simplify right side
    537.65x = 253,583.00
  5. Step 5: Solve for x
    x = 253,583.00/537.65
  6. Step 6: Final answer
    x = 471.65

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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.