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Finding the Fourth Proportional to 535.50, 739.07 and 314.57

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Solution

The fourth proportional to 535.50, 739.07 and 314.57 is: 434.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.50 : 739.07 = 314.57 : x
  2. Step 2: Convert to fraction form
    535.50/739.07 = 314.57/x
  3. Step 3: Cross multiply
    535.50x = 739.07 × 314.57
  4. Step 4: Simplify right side
    535.50x = 232,483.98
  5. Step 5: Solve for x
    x = 232,483.98/535.50
  6. Step 6: Final answer
    x = 434.14

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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.