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Finding the Fourth Proportional to 579.83, 870.20 and 348.98

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Solution

The fourth proportional to 579.83, 870.20 and 348.98 is: 523.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.83 : 870.20 = 348.98 : x
  2. Step 2: Convert to fraction form
    579.83/870.20 = 348.98/x
  3. Step 3: Cross multiply
    579.83x = 870.20 × 348.98
  4. Step 4: Simplify right side
    579.83x = 303,676.30
  5. Step 5: Solve for x
    x = 303,676.30/579.83
  6. Step 6: Final answer
    x = 523.74

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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.