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Finding the Fourth Proportional to 388.39, 583.16 and 259.20

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Solution

The fourth proportional to 388.39, 583.16 and 259.20 is: 389.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.39 : 583.16 = 259.20 : x
  2. Step 2: Convert to fraction form
    388.39/583.16 = 259.20/x
  3. Step 3: Cross multiply
    388.39x = 583.16 × 259.20
  4. Step 4: Simplify right side
    388.39x = 151,151.83
  5. Step 5: Solve for x
    x = 151,151.83/388.39
  6. Step 6: Final answer
    x = 389.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.