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Finding the Fourth Proportional to 660.40, 910.08 and 473.56

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Solution

The fourth proportional to 660.40, 910.08 and 473.56 is: 652.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.40 : 910.08 = 473.56 : x
  2. Step 2: Convert to fraction form
    660.40/910.08 = 473.56/x
  3. Step 3: Cross multiply
    660.40x = 910.08 × 473.56
  4. Step 4: Simplify right side
    660.40x = 430,977.48
  5. Step 5: Solve for x
    x = 430,977.48/660.40
  6. Step 6: Final answer
    x = 652.60

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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.