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Finding the Fourth Proportional to 579.62, 870.68 and 363.35

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Solution

The fourth proportional to 579.62, 870.68 and 363.35 is: 545.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.62 : 870.68 = 363.35 : x
  2. Step 2: Convert to fraction form
    579.62/870.68 = 363.35/x
  3. Step 3: Cross multiply
    579.62x = 870.68 × 363.35
  4. Step 4: Simplify right side
    579.62x = 316,364.66
  5. Step 5: Solve for x
    x = 316,364.66/579.62
  6. Step 6: Final answer
    x = 545.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.