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Finding the Fourth Proportional to 370.96, 512.04 and 358.80

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Solution

The fourth proportional to 370.96, 512.04 and 358.80 is: 495.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.96 : 512.04 = 358.80 : x
  2. Step 2: Convert to fraction form
    370.96/512.04 = 358.80/x
  3. Step 3: Cross multiply
    370.96x = 512.04 × 358.80
  4. Step 4: Simplify right side
    370.96x = 183,719.95
  5. Step 5: Solve for x
    x = 183,719.95/370.96
  6. Step 6: Final answer
    x = 495.26

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Why These Related Problems?

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