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Finding the Fourth Proportional to 373.16, 558.10 and 280.84

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Solution

The fourth proportional to 373.16, 558.10 and 280.84 is: 420.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.16 : 558.10 = 280.84 : x
  2. Step 2: Convert to fraction form
    373.16/558.10 = 280.84/x
  3. Step 3: Cross multiply
    373.16x = 558.10 × 280.84
  4. Step 4: Simplify right side
    373.16x = 156,736.80
  5. Step 5: Solve for x
    x = 156,736.80/373.16
  6. Step 6: Final answer
    x = 420.03

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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.