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Finding the Fourth Proportional to 557.55, 834.68 and 362.09

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Solution

The fourth proportional to 557.55, 834.68 and 362.09 is: 542.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.55 : 834.68 = 362.09 : x
  2. Step 2: Convert to fraction form
    557.55/834.68 = 362.09/x
  3. Step 3: Cross multiply
    557.55x = 834.68 × 362.09
  4. Step 4: Simplify right side
    557.55x = 302,232.27
  5. Step 5: Solve for x
    x = 302,232.27/557.55
  6. Step 6: Final answer
    x = 542.07

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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.