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Finding the Fourth Proportional to 705.51, 1,058.32 and 294.92

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Solution

The fourth proportional to 705.51, 1,058.32 and 294.92 is: 442.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.51 : 1,058.32 = 294.92 : x
  2. Step 2: Convert to fraction form
    705.51/1,058.32 = 294.92/x
  3. Step 3: Cross multiply
    705.51x = 1,058.32 × 294.92
  4. Step 4: Simplify right side
    705.51x = 312,119.73
  5. Step 5: Solve for x
    x = 312,119.73/705.51
  6. Step 6: Final answer
    x = 442.40

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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.