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Finding the Fourth Proportional to 580.16, 869.70 and 233.43

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Solution

The fourth proportional to 580.16, 869.70 and 233.43 is: 349.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.16 : 869.70 = 233.43 : x
  2. Step 2: Convert to fraction form
    580.16/869.70 = 233.43/x
  3. Step 3: Cross multiply
    580.16x = 869.70 × 233.43
  4. Step 4: Simplify right side
    580.16x = 203,014.07
  5. Step 5: Solve for x
    x = 203,014.07/580.16
  6. Step 6: Final answer
    x = 349.93

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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.