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Finding the Fourth Proportional to 616.16, 923.97 and 433.64

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Solution

The fourth proportional to 616.16, 923.97 and 433.64 is: 650.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.16 : 923.97 = 433.64 : x
  2. Step 2: Convert to fraction form
    616.16/923.97 = 433.64/x
  3. Step 3: Cross multiply
    616.16x = 923.97 × 433.64
  4. Step 4: Simplify right side
    616.16x = 400,670.35
  5. Step 5: Solve for x
    x = 400,670.35/616.16
  6. Step 6: Final answer
    x = 650.27

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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.