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Finding the Fourth Proportional to 388.06, 534.80 and 309.29

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Solution

The fourth proportional to 388.06, 534.80 and 309.29 is: 426.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.06 : 534.80 = 309.29 : x
  2. Step 2: Convert to fraction form
    388.06/534.80 = 309.29/x
  3. Step 3: Cross multiply
    388.06x = 534.80 × 309.29
  4. Step 4: Simplify right side
    388.06x = 165,406.39
  5. Step 5: Solve for x
    x = 165,406.39/388.06
  6. Step 6: Final answer
    x = 426.24

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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.