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Finding the Fourth Proportional to 700.27, 967.02 and 452.02

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Solution

The fourth proportional to 700.27, 967.02 and 452.02 is: 624.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.27 : 967.02 = 452.02 : x
  2. Step 2: Convert to fraction form
    700.27/967.02 = 452.02/x
  3. Step 3: Cross multiply
    700.27x = 967.02 × 452.02
  4. Step 4: Simplify right side
    700.27x = 437,105.29
  5. Step 5: Solve for x
    x = 437,105.29/700.27
  6. Step 6: Final answer
    x = 624.20

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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.