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Finding the Fourth Proportional to 390.89, 585.12 and 288.29

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Solution

The fourth proportional to 390.89, 585.12 and 288.29 is: 431.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.89 : 585.12 = 288.29 : x
  2. Step 2: Convert to fraction form
    390.89/585.12 = 288.29/x
  3. Step 3: Cross multiply
    390.89x = 585.12 × 288.29
  4. Step 4: Simplify right side
    390.89x = 168,684.24
  5. Step 5: Solve for x
    x = 168,684.24/390.89
  6. Step 6: Final answer
    x = 431.54

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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.