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Finding the Fourth Proportional to 475, 711.54 and 230.80

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Solution

The fourth proportional to 475, 711.54 and 230.80 is: 345.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    475 : 711.54 = 230.80 : x
  2. Step 2: Convert to fraction form
    475/711.54 = 230.80/x
  3. Step 3: Cross multiply
    475x = 711.54 × 230.80
  4. Step 4: Simplify right side
    475x = 164,223.43
  5. Step 5: Solve for x
    x = 164,223.43/475
  6. Step 6: Final answer
    x = 345.73

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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.