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Finding the Fourth Proportional to 390.07, 584.81 and 184.52

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Solution

The fourth proportional to 390.07, 584.81 and 184.52 is: 276.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.07 : 584.81 = 184.52 : x
  2. Step 2: Convert to fraction form
    390.07/584.81 = 184.52/x
  3. Step 3: Cross multiply
    390.07x = 584.81 × 184.52
  4. Step 4: Simplify right side
    390.07x = 107,911.06
  5. Step 5: Solve for x
    x = 107,911.06/390.07
  6. Step 6: Final answer
    x = 276.65

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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.