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Finding the Fourth Proportional to 471.04, 650.10 and 296.44

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Solution

The fourth proportional to 471.04, 650.10 and 296.44 is: 409.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.04 : 650.10 = 296.44 : x
  2. Step 2: Convert to fraction form
    471.04/650.10 = 296.44/x
  3. Step 3: Cross multiply
    471.04x = 650.10 × 296.44
  4. Step 4: Simplify right side
    471.04x = 192,715.64
  5. Step 5: Solve for x
    x = 192,715.64/471.04
  6. Step 6: Final answer
    x = 409.13

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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.