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Finding the Fourth Proportional to 535.63, 739.19 and 314.59

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Solution

The fourth proportional to 535.63, 739.19 and 314.59 is: 434.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.63 : 739.19 = 314.59 : x
  2. Step 2: Convert to fraction form
    535.63/739.19 = 314.59/x
  3. Step 3: Cross multiply
    535.63x = 739.19 × 314.59
  4. Step 4: Simplify right side
    535.63x = 232,541.78
  5. Step 5: Solve for x
    x = 232,541.78/535.63
  6. Step 6: Final answer
    x = 434.15

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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.