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Finding the Fourth Proportional to 390.47, 584.82 and 207.41

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Solution

The fourth proportional to 390.47, 584.82 and 207.41 is: 310.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.47 : 584.82 = 207.41 : x
  2. Step 2: Convert to fraction form
    390.47/584.82 = 207.41/x
  3. Step 3: Cross multiply
    390.47x = 584.82 × 207.41
  4. Step 4: Simplify right side
    390.47x = 121,294.59
  5. Step 5: Solve for x
    x = 121,294.59/390.47
  6. Step 6: Final answer
    x = 310.64

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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.