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Finding the Fourth Proportional to 390.77, 584.87 and 260.47

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Solution

The fourth proportional to 390.77, 584.87 and 260.47 is: 389.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.77 : 584.87 = 260.47 : x
  2. Step 2: Convert to fraction form
    390.77/584.87 = 260.47/x
  3. Step 3: Cross multiply
    390.77x = 584.87 × 260.47
  4. Step 4: Simplify right side
    390.77x = 152,338.69
  5. Step 5: Solve for x
    x = 152,338.69/390.77
  6. Step 6: Final answer
    x = 389.84

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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.