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Finding the Fourth Proportional to 705.50, 1,058.62 and 315.62

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Solution

The fourth proportional to 705.50, 1,058.62 and 315.62 is: 473.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.50 : 1,058.62 = 315.62 : x
  2. Step 2: Convert to fraction form
    705.50/1,058.62 = 315.62/x
  3. Step 3: Cross multiply
    705.50x = 1,058.62 × 315.62
  4. Step 4: Simplify right side
    705.50x = 334,121.64
  5. Step 5: Solve for x
    x = 334,121.64/705.50
  6. Step 6: Final answer
    x = 473.60

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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.