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Finding the Fourth Proportional to 570, 855.12 and 185.24

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Solution

The fourth proportional to 570, 855.12 and 185.24 is: 277.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    570 : 855.12 = 185.24 : x
  2. Step 2: Convert to fraction form
    570/855.12 = 185.24/x
  3. Step 3: Cross multiply
    570x = 855.12 × 185.24
  4. Step 4: Simplify right side
    570x = 158,402.43
  5. Step 5: Solve for x
    x = 158,402.43/570
  6. Step 6: Final answer
    x = 277.90

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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.