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Finding the Fourth Proportional to 535.23, 738.62 and 314.14

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Solution

The fourth proportional to 535.23, 738.62 and 314.14 is: 433.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.23 : 738.62 = 314.14 : x
  2. Step 2: Convert to fraction form
    535.23/738.62 = 314.14/x
  3. Step 3: Cross multiply
    535.23x = 738.62 × 314.14
  4. Step 4: Simplify right side
    535.23x = 232,026.67
  5. Step 5: Solve for x
    x = 232,026.67/535.23
  6. Step 6: Final answer
    x = 433.51

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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.