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Finding the Fourth Proportional to 411.84, 617.76 and 402.42

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Solution

The fourth proportional to 411.84, 617.76 and 402.42 is: 603.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.84 : 617.76 = 402.42 : x
  2. Step 2: Convert to fraction form
    411.84/617.76 = 402.42/x
  3. Step 3: Cross multiply
    411.84x = 617.76 × 402.42
  4. Step 4: Simplify right side
    411.84x = 248,598.98
  5. Step 5: Solve for x
    x = 248,598.98/411.84
  6. Step 6: Final answer
    x = 603.63

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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.