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Finding the Fourth Proportional to 389.76, 584.75 and 207.14

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Solution

The fourth proportional to 389.76, 584.75 and 207.14 is: 310.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.76 : 584.75 = 207.14 : x
  2. Step 2: Convert to fraction form
    389.76/584.75 = 207.14/x
  3. Step 3: Cross multiply
    389.76x = 584.75 × 207.14
  4. Step 4: Simplify right side
    389.76x = 121,122.71
  5. Step 5: Solve for x
    x = 121,122.71/389.76
  6. Step 6: Final answer
    x = 310.77

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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.