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Finding the Fourth Proportional to 315.26, 432.23 and 310.48

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Solution

The fourth proportional to 315.26, 432.23 and 310.48 is: 425.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.26 : 432.23 = 310.48 : x
  2. Step 2: Convert to fraction form
    315.26/432.23 = 310.48/x
  3. Step 3: Cross multiply
    315.26x = 432.23 × 310.48
  4. Step 4: Simplify right side
    315.26x = 134,198.77
  5. Step 5: Solve for x
    x = 134,198.77/315.26
  6. Step 6: Final answer
    x = 425.68

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.