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Finding the Fourth Proportional to 705.47, 1,058.28 and 294.74

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Solution

The fourth proportional to 705.47, 1,058.28 and 294.74 is: 442.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.47 : 1,058.28 = 294.74 : x
  2. Step 2: Convert to fraction form
    705.47/1,058.28 = 294.74/x
  3. Step 3: Cross multiply
    705.47x = 1,058.28 × 294.74
  4. Step 4: Simplify right side
    705.47x = 311,910.68
  5. Step 5: Solve for x
    x = 311,910.68/705.47
  6. Step 6: Final answer
    x = 442.13

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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.