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Finding the Fourth Proportional to 648.20, 894.24 and 473.16

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Solution

The fourth proportional to 648.20, 894.24 and 473.16 is: 652.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.20 : 894.24 = 473.16 : x
  2. Step 2: Convert to fraction form
    648.20/894.24 = 473.16/x
  3. Step 3: Cross multiply
    648.20x = 894.24 × 473.16
  4. Step 4: Simplify right side
    648.20x = 423,118.60
  5. Step 5: Solve for x
    x = 423,118.60/648.20
  6. Step 6: Final answer
    x = 652.76

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