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Finding the Fourth Proportional to 341.57, 511.59 and 280.06

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Solution

The fourth proportional to 341.57, 511.59 and 280.06 is: 419.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.57 : 511.59 = 280.06 : x
  2. Step 2: Convert to fraction form
    341.57/511.59 = 280.06/x
  3. Step 3: Cross multiply
    341.57x = 511.59 × 280.06
  4. Step 4: Simplify right side
    341.57x = 143,275.48
  5. Step 5: Solve for x
    x = 143,275.48/341.57
  6. Step 6: Final answer
    x = 419.46

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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.