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Finding the Fourth Proportional to 390.66, 584.27 and 347.64

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Solution

The fourth proportional to 390.66, 584.27 and 347.64 is: 519.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.66 : 584.27 = 347.64 : x
  2. Step 2: Convert to fraction form
    390.66/584.27 = 347.64/x
  3. Step 3: Cross multiply
    390.66x = 584.27 × 347.64
  4. Step 4: Simplify right side
    390.66x = 203,113.88
  5. Step 5: Solve for x
    x = 203,113.88/390.66
  6. Step 6: Final answer
    x = 519.92

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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.