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Finding the Fourth Proportional to 535.38, 738.77 and 302.46

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Solution

The fourth proportional to 535.38, 738.77 and 302.46 is: 417.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.38 : 738.77 = 302.46 : x
  2. Step 2: Convert to fraction form
    535.38/738.77 = 302.46/x
  3. Step 3: Cross multiply
    535.38x = 738.77 × 302.46
  4. Step 4: Simplify right side
    535.38x = 223,446.86
  5. Step 5: Solve for x
    x = 223,446.86/535.38
  6. Step 6: Final answer
    x = 417.36

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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.