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Finding the Fourth Proportional to 390.47, 584.08 and 293.27

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Solution

The fourth proportional to 390.47, 584.08 and 293.27 is: 438.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.47 : 584.08 = 293.27 : x
  2. Step 2: Convert to fraction form
    390.47/584.08 = 293.27/x
  3. Step 3: Cross multiply
    390.47x = 584.08 × 293.27
  4. Step 4: Simplify right side
    390.47x = 171,289.49
  5. Step 5: Solve for x
    x = 171,289.49/390.47
  6. Step 6: Final answer
    x = 438.68

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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.