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Finding the Fourth Proportional to 388.84, 583.08 and 145.20

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Solution

The fourth proportional to 388.84, 583.08 and 145.20 is: 217.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.84 : 583.08 = 145.20 : x
  2. Step 2: Convert to fraction form
    388.84/583.08 = 145.20/x
  3. Step 3: Cross multiply
    388.84x = 583.08 × 145.20
  4. Step 4: Simplify right side
    388.84x = 84,663.22
  5. Step 5: Solve for x
    x = 84,663.22/388.84
  6. Step 6: Final answer
    x = 217.73

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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.