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Finding the Fourth Proportional to 705.47, 1,058.37 and 243.24

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Solution

The fourth proportional to 705.47, 1,058.37 and 243.24 is: 364.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.47 : 1,058.37 = 243.24 : x
  2. Step 2: Convert to fraction form
    705.47/1,058.37 = 243.24/x
  3. Step 3: Cross multiply
    705.47x = 1,058.37 × 243.24
  4. Step 4: Simplify right side
    705.47x = 257,437.92
  5. Step 5: Solve for x
    x = 257,437.92/705.47
  6. Step 6: Final answer
    x = 364.92

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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.