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Finding the Fourth Proportional to 607.62, 837.75 and 411.42

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Solution

The fourth proportional to 607.62, 837.75 and 411.42 is: 567.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.62 : 837.75 = 411.42 : x
  2. Step 2: Convert to fraction form
    607.62/837.75 = 411.42/x
  3. Step 3: Cross multiply
    607.62x = 837.75 × 411.42
  4. Step 4: Simplify right side
    607.62x = 344,667.11
  5. Step 5: Solve for x
    x = 344,667.11/607.62
  6. Step 6: Final answer
    x = 567.24

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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.