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Finding the Fourth Proportional to 558.85, 838.41 and 284.95

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Solution

The fourth proportional to 558.85, 838.41 and 284.95 is: 427.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.85 : 838.41 = 284.95 : x
  2. Step 2: Convert to fraction form
    558.85/838.41 = 284.95/x
  3. Step 3: Cross multiply
    558.85x = 838.41 × 284.95
  4. Step 4: Simplify right side
    558.85x = 238,904.93
  5. Step 5: Solve for x
    x = 238,904.93/558.85
  6. Step 6: Final answer
    x = 427.49

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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.