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Finding the Fourth Proportional to 562.68, 843.75 and 233.75

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Solution

The fourth proportional to 562.68, 843.75 and 233.75 is: 350.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.68 : 843.75 = 233.75 : x
  2. Step 2: Convert to fraction form
    562.68/843.75 = 233.75/x
  3. Step 3: Cross multiply
    562.68x = 843.75 × 233.75
  4. Step 4: Simplify right side
    562.68x = 197,228.67
  5. Step 5: Solve for x
    x = 197,228.67/562.68
  6. Step 6: Final answer
    x = 350.52

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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.