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Finding the Fourth Proportional to 648.41, 972.14 and 283.30

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Solution

The fourth proportional to 648.41, 972.14 and 283.30 is: 424.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.41 : 972.14 = 283.30 : x
  2. Step 2: Convert to fraction form
    648.41/972.14 = 283.30/x
  3. Step 3: Cross multiply
    648.41x = 972.14 × 283.30
  4. Step 4: Simplify right side
    648.41x = 275,403.42
  5. Step 5: Solve for x
    x = 275,403.42/648.41
  6. Step 6: Final answer
    x = 424.74

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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.