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Finding the Fourth Proportional to 660.17, 990.14 and 294.89

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Solution

The fourth proportional to 660.17, 990.14 and 294.89 is: 442.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.17 : 990.14 = 294.89 : x
  2. Step 2: Convert to fraction form
    660.17/990.14 = 294.89/x
  3. Step 3: Cross multiply
    660.17x = 990.14 × 294.89
  4. Step 4: Simplify right side
    660.17x = 291,975.96
  5. Step 5: Solve for x
    x = 291,975.96/660.17
  6. Step 6: Final answer
    x = 442.28

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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.