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Finding the Fourth Proportional to 478.15, 717.32 and 204.16

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Solution

The fourth proportional to 478.15, 717.32 and 204.16 is: 306.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.15 : 717.32 = 204.16 : x
  2. Step 2: Convert to fraction form
    478.15/717.32 = 204.16/x
  3. Step 3: Cross multiply
    478.15x = 717.32 × 204.16
  4. Step 4: Simplify right side
    478.15x = 146,448.05
  5. Step 5: Solve for x
    x = 146,448.05/478.15
  6. Step 6: Final answer
    x = 306.28

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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.