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Finding the Fourth Proportional to 478.89, 718.88 and 286.92

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Solution

The fourth proportional to 478.89, 718.88 and 286.92 is: 430.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.89 : 718.88 = 286.92 : x
  2. Step 2: Convert to fraction form
    478.89/718.88 = 286.92/x
  3. Step 3: Cross multiply
    478.89x = 718.88 × 286.92
  4. Step 4: Simplify right side
    478.89x = 206,259.62
  5. Step 5: Solve for x
    x = 206,259.62/478.89
  6. Step 6: Final answer
    x = 430.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.