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Finding the Fourth Proportional to 706.49, 1,058.31 and 340.19

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Solution

The fourth proportional to 706.49, 1,058.31 and 340.19 is: 509.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.49 : 1,058.31 = 340.19 : x
  2. Step 2: Convert to fraction form
    706.49/1,058.31 = 340.19/x
  3. Step 3: Cross multiply
    706.49x = 1,058.31 × 340.19
  4. Step 4: Simplify right side
    706.49x = 360,021.19
  5. Step 5: Solve for x
    x = 360,021.19/706.49
  6. Step 6: Final answer
    x = 509.59

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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.