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Finding the Fourth Proportional to 423.40, 584.16 and 293.08

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Solution

The fourth proportional to 423.40, 584.16 and 293.08 is: 404.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.40 : 584.16 = 293.08 : x
  2. Step 2: Convert to fraction form
    423.40/584.16 = 293.08/x
  3. Step 3: Cross multiply
    423.40x = 584.16 × 293.08
  4. Step 4: Simplify right side
    423.40x = 171,205.61
  5. Step 5: Solve for x
    x = 171,205.61/423.40
  6. Step 6: Final answer
    x = 404.36

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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.