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Finding the Fourth Proportional to 419.17, 578.10 and 269.82

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Solution

The fourth proportional to 419.17, 578.10 and 269.82 is: 372.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.17 : 578.10 = 269.82 : x
  2. Step 2: Convert to fraction form
    419.17/578.10 = 269.82/x
  3. Step 3: Cross multiply
    419.17x = 578.10 × 269.82
  4. Step 4: Simplify right side
    419.17x = 155,979.76
  5. Step 5: Solve for x
    x = 155,979.76/419.17
  6. Step 6: Final answer
    x = 372.12

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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.