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Finding the Fourth Proportional to 537.76, 742.32 and 341.32

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Solution

The fourth proportional to 537.76, 742.32 and 341.32 is: 471.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.76 : 742.32 = 341.32 : x
  2. Step 2: Convert to fraction form
    537.76/742.32 = 341.32/x
  3. Step 3: Cross multiply
    537.76x = 742.32 × 341.32
  4. Step 4: Simplify right side
    537.76x = 253,368.66
  5. Step 5: Solve for x
    x = 253,368.66/537.76
  6. Step 6: Final answer
    x = 471.16

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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.