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Finding the Fourth Proportional to 701.24, 967.16 and 452.58

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Solution

The fourth proportional to 701.24, 967.16 and 452.58 is: 624.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.24 : 967.16 = 452.58 : x
  2. Step 2: Convert to fraction form
    701.24/967.16 = 452.58/x
  3. Step 3: Cross multiply
    701.24x = 967.16 × 452.58
  4. Step 4: Simplify right side
    701.24x = 437,715.01
  5. Step 5: Solve for x
    x = 437,715.01/701.24
  6. Step 6: Final answer
    x = 624.21

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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.