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Finding the Fourth Proportional to 489.14, 733.10 and 476.98

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Solution

The fourth proportional to 489.14, 733.10 and 476.98 is: 714.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.14 : 733.10 = 476.98 : x
  2. Step 2: Convert to fraction form
    489.14/733.10 = 476.98/x
  3. Step 3: Cross multiply
    489.14x = 733.10 × 476.98
  4. Step 4: Simplify right side
    489.14x = 349,674.04
  5. Step 5: Solve for x
    x = 349,674.04/489.14
  6. Step 6: Final answer
    x = 714.88

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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.