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Finding the Fourth Proportional to 616.30, 923.65 and 290.95

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Solution

The fourth proportional to 616.30, 923.65 and 290.95 is: 436.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.30 : 923.65 = 290.95 : x
  2. Step 2: Convert to fraction form
    616.30/923.65 = 290.95/x
  3. Step 3: Cross multiply
    616.30x = 923.65 × 290.95
  4. Step 4: Simplify right side
    616.30x = 268,735.97
  5. Step 5: Solve for x
    x = 268,735.97/616.30
  6. Step 6: Final answer
    x = 436.05

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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.