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Finding the Fourth Proportional to 478, 717 and 153.38

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Solution

The fourth proportional to 478, 717 and 153.38 is: 230.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    478 : 717 = 153.38 : x
  2. Step 2: Convert to fraction form
    478/717 = 153.38/x
  3. Step 3: Cross multiply
    478x = 717 × 153.38
  4. Step 4: Simplify right side
    478x = 109,973.46
  5. Step 5: Solve for x
    x = 109,973.46/478
  6. Step 6: Final answer
    x = 230.07

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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.