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Finding the Fourth Proportional to 707.36, 1,058.40 and 446.14

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Solution

The fourth proportional to 707.36, 1,058.40 and 446.14 is: 667.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.36 : 1,058.40 = 446.14 : x
  2. Step 2: Convert to fraction form
    707.36/1,058.40 = 446.14/x
  3. Step 3: Cross multiply
    707.36x = 1,058.40 × 446.14
  4. Step 4: Simplify right side
    707.36x = 472,194.58
  5. Step 5: Solve for x
    x = 472,194.58/707.36
  6. Step 6: Final answer
    x = 667.54

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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.