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Finding the Fourth Proportional to 387.60, 583.68 and 323.28

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Solution

The fourth proportional to 387.60, 583.68 and 323.28 is: 486.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.60 : 583.68 = 323.28 : x
  2. Step 2: Convert to fraction form
    387.60/583.68 = 323.28/x
  3. Step 3: Cross multiply
    387.60x = 583.68 × 323.28
  4. Step 4: Simplify right side
    387.60x = 188,692.07
  5. Step 5: Solve for x
    x = 188,692.07/387.60
  6. Step 6: Final answer
    x = 486.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.