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Finding the Fourth Proportional to 580.12, 869.54 and 233.35

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Solution

The fourth proportional to 580.12, 869.54 and 233.35 is: 349.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.12 : 869.54 = 233.35 : x
  2. Step 2: Convert to fraction form
    580.12/869.54 = 233.35/x
  3. Step 3: Cross multiply
    580.12x = 869.54 × 233.35
  4. Step 4: Simplify right side
    580.12x = 202,903.82
  5. Step 5: Solve for x
    x = 202,903.82/580.12
  6. Step 6: Final answer
    x = 349.76

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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.