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Finding the Fourth Proportional to 705.88, 974.08 and 386.84

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Solution

The fourth proportional to 705.88, 974.08 and 386.84 is: 533.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.88 : 974.08 = 386.84 : x
  2. Step 2: Convert to fraction form
    705.88/974.08 = 386.84/x
  3. Step 3: Cross multiply
    705.88x = 974.08 × 386.84
  4. Step 4: Simplify right side
    705.88x = 376,813.11
  5. Step 5: Solve for x
    x = 376,813.11/705.88
  6. Step 6: Final answer
    x = 533.82

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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.