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Finding the Fourth Proportional to 705.10, 1,057.38 and 315.22

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Solution

The fourth proportional to 705.10, 1,057.38 and 315.22 is: 472.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.10 : 1,057.38 = 315.22 : x
  2. Step 2: Convert to fraction form
    705.10/1,057.38 = 315.22/x
  3. Step 3: Cross multiply
    705.10x = 1,057.38 × 315.22
  4. Step 4: Simplify right side
    705.10x = 333,307.32
  5. Step 5: Solve for x
    x = 333,307.32/705.10
  6. Step 6: Final answer
    x = 472.71

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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.