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Finding the Fourth Proportional to 537.04, 741.78 and 414.18

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Solution

The fourth proportional to 537.04, 741.78 and 414.18 is: 572.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.04 : 741.78 = 414.18 : x
  2. Step 2: Convert to fraction form
    537.04/741.78 = 414.18/x
  3. Step 3: Cross multiply
    537.04x = 741.78 × 414.18
  4. Step 4: Simplify right side
    537.04x = 307,230.44
  5. Step 5: Solve for x
    x = 307,230.44/537.04
  6. Step 6: Final answer
    x = 572.08

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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.