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Finding the Fourth Proportional to 341.48, 511.41 and 287.21

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Solution

The fourth proportional to 341.48, 511.41 and 287.21 is: 430.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.48 : 511.41 = 287.21 : x
  2. Step 2: Convert to fraction form
    341.48/511.41 = 287.21/x
  3. Step 3: Cross multiply
    341.48x = 511.41 × 287.21
  4. Step 4: Simplify right side
    341.48x = 146,882.07
  5. Step 5: Solve for x
    x = 146,882.07/341.48
  6. Step 6: Final answer
    x = 430.13

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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.