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Finding the Fourth Proportional to 535.63, 738.97 and 314.50

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Solution

The fourth proportional to 535.63, 738.97 and 314.50 is: 433.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.63 : 738.97 = 314.50 : x
  2. Step 2: Convert to fraction form
    535.63/738.97 = 314.50/x
  3. Step 3: Cross multiply
    535.63x = 738.97 × 314.50
  4. Step 4: Simplify right side
    535.63x = 232,406.07
  5. Step 5: Solve for x
    x = 232,406.07/535.63
  6. Step 6: Final answer
    x = 433.89

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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.