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Finding the Fourth Proportional to 646.52, 970.23 and 281.12

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Solution

The fourth proportional to 646.52, 970.23 and 281.12 is: 421.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.52 : 970.23 = 281.12 : x
  2. Step 2: Convert to fraction form
    646.52/970.23 = 281.12/x
  3. Step 3: Cross multiply
    646.52x = 970.23 × 281.12
  4. Step 4: Simplify right side
    646.52x = 272,751.06
  5. Step 5: Solve for x
    x = 272,751.06/646.52
  6. Step 6: Final answer
    x = 421.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.