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Finding the Fourth Proportional to 478.16, 717.28 and 170.08

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Solution

The fourth proportional to 478.16, 717.28 and 170.08 is: 255.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.16 : 717.28 = 170.08 : x
  2. Step 2: Convert to fraction form
    478.16/717.28 = 170.08/x
  3. Step 3: Cross multiply
    478.16x = 717.28 × 170.08
  4. Step 4: Simplify right side
    478.16x = 121,994.98
  5. Step 5: Solve for x
    x = 121,994.98/478.16
  6. Step 6: Final answer
    x = 255.13

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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.