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Finding the Fourth Proportional to 412.57, 618.84 and 402.24

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Solution

The fourth proportional to 412.57, 618.84 and 402.24 is: 603.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.57 : 618.84 = 402.24 : x
  2. Step 2: Convert to fraction form
    412.57/618.84 = 402.24/x
  3. Step 3: Cross multiply
    412.57x = 618.84 × 402.24
  4. Step 4: Simplify right side
    412.57x = 248,922.20
  5. Step 5: Solve for x
    x = 248,922.20/412.57
  6. Step 6: Final answer
    x = 603.35

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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.