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Finding the Fourth Proportional to 580.80, 870.70 and 233.98

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Solution

The fourth proportional to 580.80, 870.70 and 233.98 is: 350.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.80 : 870.70 = 233.98 : x
  2. Step 2: Convert to fraction form
    580.80/870.70 = 233.98/x
  3. Step 3: Cross multiply
    580.80x = 870.70 × 233.98
  4. Step 4: Simplify right side
    580.80x = 203,726.39
  5. Step 5: Solve for x
    x = 203,726.39/580.80
  6. Step 6: Final answer
    x = 350.77

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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.