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Finding the Fourth Proportional to 537.32, 741.66 and 382.34

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Solution

The fourth proportional to 537.32, 741.66 and 382.34 is: 527.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.32 : 741.66 = 382.34 : x
  2. Step 2: Convert to fraction form
    537.32/741.66 = 382.34/x
  3. Step 3: Cross multiply
    537.32x = 741.66 × 382.34
  4. Step 4: Simplify right side
    537.32x = 283,566.28
  5. Step 5: Solve for x
    x = 283,566.28/537.32
  6. Step 6: Final answer
    x = 527.74

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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.