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Finding the Fourth Proportional to 616.40, 924.05 and 231.92

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Solution

The fourth proportional to 616.40, 924.05 and 231.92 is: 347.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.40 : 924.05 = 231.92 : x
  2. Step 2: Convert to fraction form
    616.40/924.05 = 231.92/x
  3. Step 3: Cross multiply
    616.40x = 924.05 × 231.92
  4. Step 4: Simplify right side
    616.40x = 214,301.64
  5. Step 5: Solve for x
    x = 214,301.64/616.40
  6. Step 6: Final answer
    x = 347.67

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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.