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Finding the Fourth Proportional to 478.11, 663.16 and 465.46

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Solution

The fourth proportional to 478.11, 663.16 and 465.46 is: 645.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.11 : 663.16 = 465.46 : x
  2. Step 2: Convert to fraction form
    478.11/663.16 = 465.46/x
  3. Step 3: Cross multiply
    478.11x = 663.16 × 465.46
  4. Step 4: Simplify right side
    478.11x = 308,674.45
  5. Step 5: Solve for x
    x = 308,674.45/478.11
  6. Step 6: Final answer
    x = 645.61

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.