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Finding the Fourth Proportional to 365.24, 547.86 and 283.85

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Solution

The fourth proportional to 365.24, 547.86 and 283.85 is: 425.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.24 : 547.86 = 283.85 : x
  2. Step 2: Convert to fraction form
    365.24/547.86 = 283.85/x
  3. Step 3: Cross multiply
    365.24x = 547.86 × 283.85
  4. Step 4: Simplify right side
    365.24x = 155,510.06
  5. Step 5: Solve for x
    x = 155,510.06/365.24
  6. Step 6: Final answer
    x = 425.78

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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.