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Finding the Fourth Proportional to 437.26, 603.30 and 282.10

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Solution

The fourth proportional to 437.26, 603.30 and 282.10 is: 389.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.26 : 603.30 = 282.10 : x
  2. Step 2: Convert to fraction form
    437.26/603.30 = 282.10/x
  3. Step 3: Cross multiply
    437.26x = 603.30 × 282.10
  4. Step 4: Simplify right side
    437.26x = 170,190.93
  5. Step 5: Solve for x
    x = 170,190.93/437.26
  6. Step 6: Final answer
    x = 389.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.