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Finding the Fourth Proportional to 840.74, 1,260.84 and 306.38

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Solution

The fourth proportional to 840.74, 1,260.84 and 306.38 is: 459.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.74 : 1,260.84 = 306.38 : x
  2. Step 2: Convert to fraction form
    840.74/1,260.84 = 306.38/x
  3. Step 3: Cross multiply
    840.74x = 1,260.84 × 306.38
  4. Step 4: Simplify right side
    840.74x = 386,296.16
  5. Step 5: Solve for x
    x = 386,296.16/840.74
  6. Step 6: Final answer
    x = 459.47

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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.