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Finding the Fourth Proportional to 452.32, 674.03 and 437.62

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Solution

The fourth proportional to 452.32, 674.03 and 437.62 is: 652.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.32 : 674.03 = 437.62 : x
  2. Step 2: Convert to fraction form
    452.32/674.03 = 437.62/x
  3. Step 3: Cross multiply
    452.32x = 674.03 × 437.62
  4. Step 4: Simplify right side
    452.32x = 294,969.01
  5. Step 5: Solve for x
    x = 294,969.01/452.32
  6. Step 6: Final answer
    x = 652.12

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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.