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Finding the Fourth Proportional to 607.61, 838.46 and 411.18

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Solution

The fourth proportional to 607.61, 838.46 and 411.18 is: 567.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.61 : 838.46 = 411.18 : x
  2. Step 2: Convert to fraction form
    607.61/838.46 = 411.18/x
  3. Step 3: Cross multiply
    607.61x = 838.46 × 411.18
  4. Step 4: Simplify right side
    607.61x = 344,755.93
  5. Step 5: Solve for x
    x = 344,755.93/607.61
  6. Step 6: Final answer
    x = 567.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.