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Finding the Fourth Proportional to 478.96, 718.63 and 170.83

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Solution

The fourth proportional to 478.96, 718.63 and 170.83 is: 256.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.96 : 718.63 = 170.83 : x
  2. Step 2: Convert to fraction form
    478.96/718.63 = 170.83/x
  3. Step 3: Cross multiply
    478.96x = 718.63 × 170.83
  4. Step 4: Simplify right side
    478.96x = 122,762.71
  5. Step 5: Solve for x
    x = 122,762.71/478.96
  6. Step 6: Final answer
    x = 256.31

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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.