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Finding the Fourth Proportional to 714.52, 1,072.25 and 324.98

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Solution

The fourth proportional to 714.52, 1,072.25 and 324.98 is: 487.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.52 : 1,072.25 = 324.98 : x
  2. Step 2: Convert to fraction form
    714.52/1,072.25 = 324.98/x
  3. Step 3: Cross multiply
    714.52x = 1,072.25 × 324.98
  4. Step 4: Simplify right side
    714.52x = 348,459.81
  5. Step 5: Solve for x
    x = 348,459.81/714.52
  6. Step 6: Final answer
    x = 487.68

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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.