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Finding the Fourth Proportional to 705.58, 1,058.52 and 315.43

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Solution

The fourth proportional to 705.58, 1,058.52 and 315.43 is: 473.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.58 : 1,058.52 = 315.43 : x
  2. Step 2: Convert to fraction form
    705.58/1,058.52 = 315.43/x
  3. Step 3: Cross multiply
    705.58x = 1,058.52 × 315.43
  4. Step 4: Simplify right side
    705.58x = 333,888.96
  5. Step 5: Solve for x
    x = 333,888.96/705.58
  6. Step 6: Final answer
    x = 473.21

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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.