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Finding the Fourth Proportional to 575.83, 793.13 and 442.79

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Solution

The fourth proportional to 575.83, 793.13 and 442.79 is: 609.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.83 : 793.13 = 442.79 : x
  2. Step 2: Convert to fraction form
    575.83/793.13 = 442.79/x
  3. Step 3: Cross multiply
    575.83x = 793.13 × 442.79
  4. Step 4: Simplify right side
    575.83x = 351,189.80
  5. Step 5: Solve for x
    x = 351,189.80/575.83
  6. Step 6: Final answer
    x = 609.89

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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.