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Finding the Fourth Proportional to 390.50, 584.98 and 293.11

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Solution

The fourth proportional to 390.50, 584.98 and 293.11 is: 439.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.50 : 584.98 = 293.11 : x
  2. Step 2: Convert to fraction form
    390.50/584.98 = 293.11/x
  3. Step 3: Cross multiply
    390.50x = 584.98 × 293.11
  4. Step 4: Simplify right side
    390.50x = 171,462.99
  5. Step 5: Solve for x
    x = 171,462.99/390.50
  6. Step 6: Final answer
    x = 439.09

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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.