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Finding the Fourth Proportional to 370.28, 555.37 and 288.09

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Solution

The fourth proportional to 370.28, 555.37 and 288.09 is: 432.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.28 : 555.37 = 288.09 : x
  2. Step 2: Convert to fraction form
    370.28/555.37 = 288.09/x
  3. Step 3: Cross multiply
    370.28x = 555.37 × 288.09
  4. Step 4: Simplify right side
    370.28x = 159,998.28
  5. Step 5: Solve for x
    x = 159,998.28/370.28
  6. Step 6: Final answer
    x = 432.10

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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.