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Finding the Fourth Proportional to 660.49, 910.22 and 473.65

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Solution

The fourth proportional to 660.49, 910.22 and 473.65 is: 652.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.49 : 910.22 = 473.65 : x
  2. Step 2: Convert to fraction form
    660.49/910.22 = 473.65/x
  3. Step 3: Cross multiply
    660.49x = 910.22 × 473.65
  4. Step 4: Simplify right side
    660.49x = 431,124.11
  5. Step 5: Solve for x
    x = 431,124.11/660.49
  6. Step 6: Final answer
    x = 652.74

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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.