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Finding the Fourth Proportional to 616.26, 923.84 and 291.46

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Solution

The fourth proportional to 616.26, 923.84 and 291.46 is: 436.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.26 : 923.84 = 291.46 : x
  2. Step 2: Convert to fraction form
    616.26/923.84 = 291.46/x
  3. Step 3: Cross multiply
    616.26x = 923.84 × 291.46
  4. Step 4: Simplify right side
    616.26x = 269,262.41
  5. Step 5: Solve for x
    x = 269,262.41/616.26
  6. Step 6: Final answer
    x = 436.93

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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.