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Finding the Fourth Proportional to 535.08, 738.34 and 314.02

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Solution

The fourth proportional to 535.08, 738.34 and 314.02 is: 433.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.08 : 738.34 = 314.02 : x
  2. Step 2: Convert to fraction form
    535.08/738.34 = 314.02/x
  3. Step 3: Cross multiply
    535.08x = 738.34 × 314.02
  4. Step 4: Simplify right side
    535.08x = 231,853.53
  5. Step 5: Solve for x
    x = 231,853.53/535.08
  6. Step 6: Final answer
    x = 433.31

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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.