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Finding the Fourth Proportional to 423.66, 584.40 and 257.78

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Solution

The fourth proportional to 423.66, 584.40 and 257.78 is: 355.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.66 : 584.40 = 257.78 : x
  2. Step 2: Convert to fraction form
    423.66/584.40 = 257.78/x
  3. Step 3: Cross multiply
    423.66x = 584.40 × 257.78
  4. Step 4: Simplify right side
    423.66x = 150,646.63
  5. Step 5: Solve for x
    x = 150,646.63/423.66
  6. Step 6: Final answer
    x = 355.58

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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.