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Finding the Fourth Proportional to 705.33, 1,058.13 and 315.18

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Solution

The fourth proportional to 705.33, 1,058.13 and 315.18 is: 472.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.33 : 1,058.13 = 315.18 : x
  2. Step 2: Convert to fraction form
    705.33/1,058.13 = 315.18/x
  3. Step 3: Cross multiply
    705.33x = 1,058.13 × 315.18
  4. Step 4: Simplify right side
    705.33x = 333,501.41
  5. Step 5: Solve for x
    x = 333,501.41/705.33
  6. Step 6: Final answer
    x = 472.83

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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.