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Finding the Fourth Proportional to 562.40, 843 and 379.83

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Solution

The fourth proportional to 562.40, 843 and 379.83 is: 569.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.40 : 843 = 379.83 : x
  2. Step 2: Convert to fraction form
    562.40/843 = 379.83/x
  3. Step 3: Cross multiply
    562.40x = 843 × 379.83
  4. Step 4: Simplify right side
    562.40x = 320,196.69
  5. Step 5: Solve for x
    x = 320,196.69/562.40
  6. Step 6: Final answer
    x = 569.34

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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.