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Finding the Fourth Proportional to 616.30, 923.73 and 342.58

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Solution

The fourth proportional to 616.30, 923.73 and 342.58 is: 513.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.30 : 923.73 = 342.58 : x
  2. Step 2: Convert to fraction form
    616.30/923.73 = 342.58/x
  3. Step 3: Cross multiply
    616.30x = 923.73 × 342.58
  4. Step 4: Simplify right side
    616.30x = 316,451.42
  5. Step 5: Solve for x
    x = 316,451.42/616.30
  6. Step 6: Final answer
    x = 513.47

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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.