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Finding the Fourth Proportional to 537.66, 741.62 and 454.64

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Solution

The fourth proportional to 537.66, 741.62 and 454.64 is: 627.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.66 : 741.62 = 454.64 : x
  2. Step 2: Convert to fraction form
    537.66/741.62 = 454.64/x
  3. Step 3: Cross multiply
    537.66x = 741.62 × 454.64
  4. Step 4: Simplify right side
    537.66x = 337,167.55
  5. Step 5: Solve for x
    x = 337,167.55/537.66
  6. Step 6: Final answer
    x = 627.10

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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.