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Finding the Fourth Proportional to 580.52, 870.14 and 233.76

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Solution

The fourth proportional to 580.52, 870.14 and 233.76 is: 350.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.52 : 870.14 = 233.76 : x
  2. Step 2: Convert to fraction form
    580.52/870.14 = 233.76/x
  3. Step 3: Cross multiply
    580.52x = 870.14 × 233.76
  4. Step 4: Simplify right side
    580.52x = 203,403.93
  5. Step 5: Solve for x
    x = 203,403.93/580.52
  6. Step 6: Final answer
    x = 350.38

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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.