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Finding the Fourth Proportional to 705.74, 1,058.72 and 294.89

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Solution

The fourth proportional to 705.74, 1,058.72 and 294.89 is: 442.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.74 : 1,058.72 = 294.89 : x
  2. Step 2: Convert to fraction form
    705.74/1,058.72 = 294.89/x
  3. Step 3: Cross multiply
    705.74x = 1,058.72 × 294.89
  4. Step 4: Simplify right side
    705.74x = 312,199.17
  5. Step 5: Solve for x
    x = 312,199.17/705.74
  6. Step 6: Final answer
    x = 442.37

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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.