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Finding the Fourth Proportional to 705.51, 1,057.29 and 266.31

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Solution

The fourth proportional to 705.51, 1,057.29 and 266.31 is: 399.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.51 : 1,057.29 = 266.31 : x
  2. Step 2: Convert to fraction form
    705.51/1,057.29 = 266.31/x
  3. Step 3: Cross multiply
    705.51x = 1,057.29 × 266.31
  4. Step 4: Simplify right side
    705.51x = 281,565.90
  5. Step 5: Solve for x
    x = 281,565.90/705.51
  6. Step 6: Final answer
    x = 399.10

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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.