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Finding the Fourth Proportional to 660.78, 911.61 and 424.87

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Solution

The fourth proportional to 660.78, 911.61 and 424.87 is: 586.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.78 : 911.61 = 424.87 : x
  2. Step 2: Convert to fraction form
    660.78/911.61 = 424.87/x
  3. Step 3: Cross multiply
    660.78x = 911.61 × 424.87
  4. Step 4: Simplify right side
    660.78x = 387,313.46
  5. Step 5: Solve for x
    x = 387,313.46/660.78
  6. Step 6: Final answer
    x = 586.15

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Why These Related Problems?

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