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Finding the Fourth Proportional to 558.19, 770.95 and 371.37

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Solution

The fourth proportional to 558.19, 770.95 and 371.37 is: 512.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.19 : 770.95 = 371.37 : x
  2. Step 2: Convert to fraction form
    558.19/770.95 = 371.37/x
  3. Step 3: Cross multiply
    558.19x = 770.95 × 371.37
  4. Step 4: Simplify right side
    558.19x = 286,306.72
  5. Step 5: Solve for x
    x = 286,306.72/558.19
  6. Step 6: Final answer
    x = 512.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.