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Finding the Fourth Proportional to 355.15, 490.68 and 288.13

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Solution

The fourth proportional to 355.15, 490.68 and 288.13 is: 398.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.15 : 490.68 = 288.13 : x
  2. Step 2: Convert to fraction form
    355.15/490.68 = 288.13/x
  3. Step 3: Cross multiply
    355.15x = 490.68 × 288.13
  4. Step 4: Simplify right side
    355.15x = 141,379.63
  5. Step 5: Solve for x
    x = 141,379.63/355.15
  6. Step 6: Final answer
    x = 398.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.