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Finding the Fourth Proportional to 341.16, 511.24 and 258.84

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Solution

The fourth proportional to 341.16, 511.24 and 258.84 is: 387.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.16 : 511.24 = 258.84 : x
  2. Step 2: Convert to fraction form
    341.16/511.24 = 258.84/x
  3. Step 3: Cross multiply
    341.16x = 511.24 × 258.84
  4. Step 4: Simplify right side
    341.16x = 132,329.36
  5. Step 5: Solve for x
    x = 132,329.36/341.16
  6. Step 6: Final answer
    x = 387.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.