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Finding the Fourth Proportional to 478.85, 718.28 and 263.79

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Solution

The fourth proportional to 478.85, 718.28 and 263.79 is: 395.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.85 : 718.28 = 263.79 : x
  2. Step 2: Convert to fraction form
    478.85/718.28 = 263.79/x
  3. Step 3: Cross multiply
    478.85x = 718.28 × 263.79
  4. Step 4: Simplify right side
    478.85x = 189,475.08
  5. Step 5: Solve for x
    x = 189,475.08/478.85
  6. Step 6: Final answer
    x = 395.69

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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.