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Finding the Fourth Proportional to 660.22, 910.56 and 411.06

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Solution

The fourth proportional to 660.22, 910.56 and 411.06 is: 566.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.22 : 910.56 = 411.06 : x
  2. Step 2: Convert to fraction form
    660.22/910.56 = 411.06/x
  3. Step 3: Cross multiply
    660.22x = 910.56 × 411.06
  4. Step 4: Simplify right side
    660.22x = 374,294.79
  5. Step 5: Solve for x
    x = 374,294.79/660.22
  6. Step 6: Final answer
    x = 566.92

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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.