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Finding the Fourth Proportional to 423.78, 584 and 283.74

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Solution

The fourth proportional to 423.78, 584 and 283.74 is: 391.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.78 : 584 = 283.74 : x
  2. Step 2: Convert to fraction form
    423.78/584 = 283.74/x
  3. Step 3: Cross multiply
    423.78x = 584 × 283.74
  4. Step 4: Simplify right side
    423.78x = 165,704.16
  5. Step 5: Solve for x
    x = 165,704.16/423.78
  6. Step 6: Final answer
    x = 391.01

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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.