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Finding the Fourth Proportional to 423.32, 583.85 and 283.39

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Solution

The fourth proportional to 423.32, 583.85 and 283.39 is: 390.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.32 : 583.85 = 283.39 : x
  2. Step 2: Convert to fraction form
    423.32/583.85 = 283.39/x
  3. Step 3: Cross multiply
    423.32x = 583.85 × 283.39
  4. Step 4: Simplify right side
    423.32x = 165,458.69
  5. Step 5: Solve for x
    x = 165,458.69/423.32
  6. Step 6: Final answer
    x = 390.86

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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.