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Finding the Fourth Proportional to 402.26, 556.35 and 358.52

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Solution

The fourth proportional to 402.26, 556.35 and 358.52 is: 495.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.26 : 556.35 = 358.52 : x
  2. Step 2: Convert to fraction form
    402.26/556.35 = 358.52/x
  3. Step 3: Cross multiply
    402.26x = 556.35 × 358.52
  4. Step 4: Simplify right side
    402.26x = 199,462.60
  5. Step 5: Solve for x
    x = 199,462.60/402.26
  6. Step 6: Final answer
    x = 495.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.