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Finding the Fourth Proportional to 452.76, 674.45 and 439.16

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Solution

The fourth proportional to 452.76, 674.45 and 439.16 is: 654.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.76 : 674.45 = 439.16 : x
  2. Step 2: Convert to fraction form
    452.76/674.45 = 439.16/x
  3. Step 3: Cross multiply
    452.76x = 674.45 × 439.16
  4. Step 4: Simplify right side
    452.76x = 296,191.46
  5. Step 5: Solve for x
    x = 296,191.46/452.76
  6. Step 6: Final answer
    x = 654.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.