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Finding the Fourth Proportional to 558.00, 837 and 229.10

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Solution

The fourth proportional to 558.00, 837 and 229.10 is: 343.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.00 : 837 = 229.10 : x
  2. Step 2: Convert to fraction form
    558.00/837 = 229.10/x
  3. Step 3: Cross multiply
    558.00x = 837 × 229.10
  4. Step 4: Simplify right side
    558.00x = 191,752.52
  5. Step 5: Solve for x
    x = 191,752.52/558.00
  6. Step 6: Final answer
    x = 343.64

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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.