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Finding the Fourth Proportional to 342.14, 511.23 and 280.58

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Solution

The fourth proportional to 342.14, 511.23 and 280.58 is: 419.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.14 : 511.23 = 280.58 : x
  2. Step 2: Convert to fraction form
    342.14/511.23 = 280.58/x
  3. Step 3: Cross multiply
    342.14x = 511.23 × 280.58
  4. Step 4: Simplify right side
    342.14x = 143,439.51
  5. Step 5: Solve for x
    x = 143,439.51/342.14
  6. Step 6: Final answer
    x = 419.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.