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Finding the Fourth Proportional to 706.32, 1,058.59 and 359.13

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Solution

The fourth proportional to 706.32, 1,058.59 and 359.13 is: 538.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.32 : 1,058.59 = 359.13 : x
  2. Step 2: Convert to fraction form
    706.32/1,058.59 = 359.13/x
  3. Step 3: Cross multiply
    706.32x = 1,058.59 × 359.13
  4. Step 4: Simplify right side
    706.32x = 380,171.43
  5. Step 5: Solve for x
    x = 380,171.43/706.32
  6. Step 6: Final answer
    x = 538.24

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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.