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Finding the Fourth Proportional to 575.39, 793.80 and 400.83

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Solution

The fourth proportional to 575.39, 793.80 and 400.83 is: 552.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.39 : 793.80 = 400.83 : x
  2. Step 2: Convert to fraction form
    575.39/793.80 = 400.83/x
  3. Step 3: Cross multiply
    575.39x = 793.80 × 400.83
  4. Step 4: Simplify right side
    575.39x = 318,178.85
  5. Step 5: Solve for x
    x = 318,178.85/575.39
  6. Step 6: Final answer
    x = 552.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.