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Finding the Fourth Proportional to 537.15, 741.68 and 412.61

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Solution

The fourth proportional to 537.15, 741.68 and 412.61 is: 569.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.15 : 741.68 = 412.61 : x
  2. Step 2: Convert to fraction form
    537.15/741.68 = 412.61/x
  3. Step 3: Cross multiply
    537.15x = 741.68 × 412.61
  4. Step 4: Simplify right side
    537.15x = 306,024.58
  5. Step 5: Solve for x
    x = 306,024.58/537.15
  6. Step 6: Final answer
    x = 569.72

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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.