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Finding the Fourth Proportional to 370.29, 554.93 and 288.75

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Solution

The fourth proportional to 370.29, 554.93 and 288.75 is: 432.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.29 : 554.93 = 288.75 : x
  2. Step 2: Convert to fraction form
    370.29/554.93 = 288.75/x
  3. Step 3: Cross multiply
    370.29x = 554.93 × 288.75
  4. Step 4: Simplify right side
    370.29x = 160,234.59
  5. Step 5: Solve for x
    x = 160,234.59/370.29
  6. Step 6: Final answer
    x = 432.73

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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.