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Finding the Fourth Proportional to 558.59, 837.98 and 173.75

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Solution

The fourth proportional to 558.59, 837.98 and 173.75 is: 260.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.59 : 837.98 = 173.75 : x
  2. Step 2: Convert to fraction form
    558.59/837.98 = 173.75/x
  3. Step 3: Cross multiply
    558.59x = 837.98 × 173.75
  4. Step 4: Simplify right side
    558.59x = 145,598.16
  5. Step 5: Solve for x
    x = 145,598.16/558.59
  6. Step 6: Final answer
    x = 260.65

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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.