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Finding the Fourth Proportional to 478.86, 718.40 and 149.77

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Solution

The fourth proportional to 478.86, 718.40 and 149.77 is: 224.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.86 : 718.40 = 149.77 : x
  2. Step 2: Convert to fraction form
    478.86/718.40 = 149.77/x
  3. Step 3: Cross multiply
    478.86x = 718.40 × 149.77
  4. Step 4: Simplify right side
    478.86x = 107,594.77
  5. Step 5: Solve for x
    x = 107,594.77/478.86
  6. Step 6: Final answer
    x = 224.69

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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.