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Finding the Fourth Proportional to 536, 739.71 and 314.90

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Solution

The fourth proportional to 536, 739.71 and 314.90 is: 434.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    536 : 739.71 = 314.90 : x
  2. Step 2: Convert to fraction form
    536/739.71 = 314.90/x
  3. Step 3: Cross multiply
    536x = 739.71 × 314.90
  4. Step 4: Simplify right side
    536x = 232,934.68
  5. Step 5: Solve for x
    x = 232,934.68/536
  6. Step 6: Final answer
    x = 434.58

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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.