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Finding the Fourth Proportional to 315.22, 434.06 and 308.03

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Solution

The fourth proportional to 315.22, 434.06 and 308.03 is: 424.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.22 : 434.06 = 308.03 : x
  2. Step 2: Convert to fraction form
    315.22/434.06 = 308.03/x
  3. Step 3: Cross multiply
    315.22x = 434.06 × 308.03
  4. Step 4: Simplify right side
    315.22x = 133,702.17
  5. Step 5: Solve for x
    x = 133,702.17/315.22
  6. Step 6: Final answer
    x = 424.16

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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.