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Finding the Fourth Proportional to 705.53, 1,058.40 and 294.45

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Solution

The fourth proportional to 705.53, 1,058.40 and 294.45 is: 441.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.53 : 1,058.40 = 294.45 : x
  2. Step 2: Convert to fraction form
    705.53/1,058.40 = 294.45/x
  3. Step 3: Cross multiply
    705.53x = 1,058.40 × 294.45
  4. Step 4: Simplify right side
    705.53x = 311,645.88
  5. Step 5: Solve for x
    x = 311,645.88/705.53
  6. Step 6: Final answer
    x = 441.72

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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.