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Finding the Fourth Proportional to 558.23, 836.26 and 435.80

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Solution

The fourth proportional to 558.23, 836.26 and 435.80 is: 652.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.23 : 836.26 = 435.80 : x
  2. Step 2: Convert to fraction form
    558.23/836.26 = 435.80/x
  3. Step 3: Cross multiply
    558.23x = 836.26 × 435.80
  4. Step 4: Simplify right side
    558.23x = 364,443.11
  5. Step 5: Solve for x
    x = 364,443.11/558.23
  6. Step 6: Final answer
    x = 652.86

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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.