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Finding the Fourth Proportional to 478.36, 717.64 and 153.75

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Solution

The fourth proportional to 478.36, 717.64 and 153.75 is: 230.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.36 : 717.64 = 153.75 : x
  2. Step 2: Convert to fraction form
    478.36/717.64 = 153.75/x
  3. Step 3: Cross multiply
    478.36x = 717.64 × 153.75
  4. Step 4: Simplify right side
    478.36x = 110,337.15
  5. Step 5: Solve for x
    x = 110,337.15/478.36
  6. Step 6: Final answer
    x = 230.66

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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.