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Finding the Fourth Proportional to 478.86, 718.35 and 218.86

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Solution

The fourth proportional to 478.86, 718.35 and 218.86 is: 328.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.86 : 718.35 = 218.86 : x
  2. Step 2: Convert to fraction form
    478.86/718.35 = 218.86/x
  3. Step 3: Cross multiply
    478.86x = 718.35 × 218.86
  4. Step 4: Simplify right side
    478.86x = 157,218.08
  5. Step 5: Solve for x
    x = 157,218.08/478.86
  6. Step 6: Final answer
    x = 328.32

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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.