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Finding the Fourth Proportional to 723.50, 1,085.36 and 290.63

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Solution

The fourth proportional to 723.50, 1,085.36 and 290.63 is: 435.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.50 : 1,085.36 = 290.63 : x
  2. Step 2: Convert to fraction form
    723.50/1,085.36 = 290.63/x
  3. Step 3: Cross multiply
    723.50x = 1,085.36 × 290.63
  4. Step 4: Simplify right side
    723.50x = 315,431.30
  5. Step 5: Solve for x
    x = 315,431.30/723.50
  6. Step 6: Final answer
    x = 435.98

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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.