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Finding the Fourth Proportional to 390.99, 585.83 and 275.23

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Solution

The fourth proportional to 390.99, 585.83 and 275.23 is: 412.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.99 : 585.83 = 275.23 : x
  2. Step 2: Convert to fraction form
    390.99/585.83 = 275.23/x
  3. Step 3: Cross multiply
    390.99x = 585.83 × 275.23
  4. Step 4: Simplify right side
    390.99x = 161,233.69
  5. Step 5: Solve for x
    x = 161,233.69/390.99
  6. Step 6: Final answer
    x = 412.38

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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.