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Finding the Fourth Proportional to 660.74, 990.40 and 429.80

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Solution

The fourth proportional to 660.74, 990.40 and 429.80 is: 644.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.74 : 990.40 = 429.80 : x
  2. Step 2: Convert to fraction form
    660.74/990.40 = 429.80/x
  3. Step 3: Cross multiply
    660.74x = 990.40 × 429.80
  4. Step 4: Simplify right side
    660.74x = 425,666.82
  5. Step 5: Solve for x
    x = 425,666.82/660.74
  6. Step 6: Final answer
    x = 644.23

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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.