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Finding the Fourth Proportional to 705.64, 1,058.46 and 340.36

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Solution

The fourth proportional to 705.64, 1,058.46 and 340.36 is: 510.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.64 : 1,058.46 = 340.36 : x
  2. Step 2: Convert to fraction form
    705.64/1,058.46 = 340.36/x
  3. Step 3: Cross multiply
    705.64x = 1,058.46 × 340.36
  4. Step 4: Simplify right side
    705.64x = 360,257.45
  5. Step 5: Solve for x
    x = 360,257.45/705.64
  6. Step 6: Final answer
    x = 510.54

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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.