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Finding the Fourth Proportional to 660.45, 910.33 and 473.64

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Solution

The fourth proportional to 660.45, 910.33 and 473.64 is: 652.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.45 : 910.33 = 473.64 : x
  2. Step 2: Convert to fraction form
    660.45/910.33 = 473.64/x
  3. Step 3: Cross multiply
    660.45x = 910.33 × 473.64
  4. Step 4: Simplify right side
    660.45x = 431,168.70
  5. Step 5: Solve for x
    x = 431,168.70/660.45
  6. Step 6: Final answer
    x = 652.84

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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.