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Finding the Fourth Proportional to 558.60, 836.30 and 342.60

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Solution

The fourth proportional to 558.60, 836.30 and 342.60 is: 512.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.60 : 836.30 = 342.60 : x
  2. Step 2: Convert to fraction form
    558.60/836.30 = 342.60/x
  3. Step 3: Cross multiply
    558.60x = 836.30 × 342.60
  4. Step 4: Simplify right side
    558.60x = 286,516.38
  5. Step 5: Solve for x
    x = 286,516.38/558.60
  6. Step 6: Final answer
    x = 512.92

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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.