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Finding the Fourth Proportional to 535.54, 738.16 and 358.43

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Solution

The fourth proportional to 535.54, 738.16 and 358.43 is: 494.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.54 : 738.16 = 358.43 : x
  2. Step 2: Convert to fraction form
    535.54/738.16 = 358.43/x
  3. Step 3: Cross multiply
    535.54x = 738.16 × 358.43
  4. Step 4: Simplify right side
    535.54x = 264,581.02
  5. Step 5: Solve for x
    x = 264,581.02/535.54
  6. Step 6: Final answer
    x = 494.05

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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.