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Finding the Fourth Proportional to 423.60, 583.68 and 379.80

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Solution

The fourth proportional to 423.60, 583.68 and 379.80 is: 523.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.60 : 583.68 = 379.80 : x
  2. Step 2: Convert to fraction form
    423.60/583.68 = 379.80/x
  3. Step 3: Cross multiply
    423.60x = 583.68 × 379.80
  4. Step 4: Simplify right side
    423.60x = 221,681.66
  5. Step 5: Solve for x
    x = 221,681.66/423.60
  6. Step 6: Final answer
    x = 523.33

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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.