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Finding the Fourth Proportional to 660.55, 911.73 and 424.66

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Solution

The fourth proportional to 660.55, 911.73 and 424.66 is: 586.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.55 : 911.73 = 424.66 : x
  2. Step 2: Convert to fraction form
    660.55/911.73 = 424.66/x
  3. Step 3: Cross multiply
    660.55x = 911.73 × 424.66
  4. Step 4: Simplify right side
    660.55x = 387,175.26
  5. Step 5: Solve for x
    x = 387,175.26/660.55
  6. Step 6: Final answer
    x = 586.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.