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Finding the Fourth Proportional to 388.89, 583.47 and 280.07

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Solution

The fourth proportional to 388.89, 583.47 and 280.07 is: 420.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.89 : 583.47 = 280.07 : x
  2. Step 2: Convert to fraction form
    388.89/583.47 = 280.07/x
  3. Step 3: Cross multiply
    388.89x = 583.47 × 280.07
  4. Step 4: Simplify right side
    388.89x = 163,412.44
  5. Step 5: Solve for x
    x = 163,412.44/388.89
  6. Step 6: Final answer
    x = 420.20

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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.