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Finding the Fourth Proportional to 535.16, 738.48 and 314.03

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Solution

The fourth proportional to 535.16, 738.48 and 314.03 is: 433.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.16 : 738.48 = 314.03 : x
  2. Step 2: Convert to fraction form
    535.16/738.48 = 314.03/x
  3. Step 3: Cross multiply
    535.16x = 738.48 × 314.03
  4. Step 4: Simplify right side
    535.16x = 231,904.87
  5. Step 5: Solve for x
    x = 231,904.87/535.16
  6. Step 6: Final answer
    x = 433.34

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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.