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Finding the Fourth Proportional to 412.02, 616.65 and 257.42

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Solution

The fourth proportional to 412.02, 616.65 and 257.42 is: 385.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.02 : 616.65 = 257.42 : x
  2. Step 2: Convert to fraction form
    412.02/616.65 = 257.42/x
  3. Step 3: Cross multiply
    412.02x = 616.65 × 257.42
  4. Step 4: Simplify right side
    412.02x = 158,734.96
  5. Step 5: Solve for x
    x = 158,734.96/412.02
  6. Step 6: Final answer
    x = 385.26

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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.