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Finding the Fourth Proportional to 660.34, 990.72 and 295.10

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Solution

The fourth proportional to 660.34, 990.72 and 295.10 is: 442.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.34 : 990.72 = 295.10 : x
  2. Step 2: Convert to fraction form
    660.34/990.72 = 295.10/x
  3. Step 3: Cross multiply
    660.34x = 990.72 × 295.10
  4. Step 4: Simplify right side
    660.34x = 292,361.47
  5. Step 5: Solve for x
    x = 292,361.47/660.34
  6. Step 6: Final answer
    x = 442.74

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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.