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Finding the Fourth Proportional to 616.88, 923.52 and 399.84

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Solution

The fourth proportional to 616.88, 923.52 and 399.84 is: 598.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.88 : 923.52 = 399.84 : x
  2. Step 2: Convert to fraction form
    616.88/923.52 = 399.84/x
  3. Step 3: Cross multiply
    616.88x = 923.52 × 399.84
  4. Step 4: Simplify right side
    616.88x = 369,260.24
  5. Step 5: Solve for x
    x = 369,260.24/616.88
  6. Step 6: Final answer
    x = 598.59

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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.