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Finding the Fourth Proportional to 705.81, 974.21 and 426.06

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Solution

The fourth proportional to 705.81, 974.21 and 426.06 is: 588.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.81 : 974.21 = 426.06 : x
  2. Step 2: Convert to fraction form
    705.81/974.21 = 426.06/x
  3. Step 3: Cross multiply
    705.81x = 974.21 × 426.06
  4. Step 4: Simplify right side
    705.81x = 415,071.91
  5. Step 5: Solve for x
    x = 415,071.91/705.81
  6. Step 6: Final answer
    x = 588.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.