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Finding the Fourth Proportional to 705.16, 1,057.20 and 397.36

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Solution

The fourth proportional to 705.16, 1,057.20 and 397.36 is: 595.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.16 : 1,057.20 = 397.36 : x
  2. Step 2: Convert to fraction form
    705.16/1,057.20 = 397.36/x
  3. Step 3: Cross multiply
    705.16x = 1,057.20 × 397.36
  4. Step 4: Simplify right side
    705.16x = 420,088.99
  5. Step 5: Solve for x
    x = 420,088.99/705.16
  6. Step 6: Final answer
    x = 595.74

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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.