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Finding the Fourth Proportional to 478.68, 656.67 and 465.87

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Solution

The fourth proportional to 478.68, 656.67 and 465.87 is: 639.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.68 : 656.67 = 465.87 : x
  2. Step 2: Convert to fraction form
    478.68/656.67 = 465.87/x
  3. Step 3: Cross multiply
    478.68x = 656.67 × 465.87
  4. Step 4: Simplify right side
    478.68x = 305,922.85
  5. Step 5: Solve for x
    x = 305,922.85/478.68
  6. Step 6: Final answer
    x = 639.10

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.