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Finding the Fourth Proportional to 660.54, 910.72 and 424.07

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Solution

The fourth proportional to 660.54, 910.72 and 424.07 is: 584.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.54 : 910.72 = 424.07 : x
  2. Step 2: Convert to fraction form
    660.54/910.72 = 424.07/x
  3. Step 3: Cross multiply
    660.54x = 910.72 × 424.07
  4. Step 4: Simplify right side
    660.54x = 386,207.97
  5. Step 5: Solve for x
    x = 386,207.97/660.54
  6. Step 6: Final answer
    x = 584.68

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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.