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Finding the Fourth Proportional to 478.83, 718.47 and 170.83

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Solution

The fourth proportional to 478.83, 718.47 and 170.83 is: 256.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.83 : 718.47 = 170.83 : x
  2. Step 2: Convert to fraction form
    478.83/718.47 = 170.83/x
  3. Step 3: Cross multiply
    478.83x = 718.47 × 170.83
  4. Step 4: Simplify right side
    478.83x = 122,736.23
  5. Step 5: Solve for x
    x = 122,736.23/478.83
  6. Step 6: Final answer
    x = 256.33

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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.