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Finding the Fourth Proportional to 362.90, 543 and 290

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Solution

The fourth proportional to 362.90, 543 and 290 is: 433.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.90 : 543 = 290 : x
  2. Step 2: Convert to fraction form
    362.90/543 = 290/x
  3. Step 3: Cross multiply
    362.90x = 543 × 290
  4. Step 4: Simplify right side
    362.90x = 157,470
  5. Step 5: Solve for x
    x = 157,470/362.90
  6. Step 6: Final answer
    x = 433.92

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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.