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Finding the Fourth Proportional to 471.30, 650.30 and 419.06

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Solution

The fourth proportional to 471.30, 650.30 and 419.06 is: 578.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.30 : 650.30 = 419.06 : x
  2. Step 2: Convert to fraction form
    471.30/650.30 = 419.06/x
  3. Step 3: Cross multiply
    471.30x = 650.30 × 419.06
  4. Step 4: Simplify right side
    471.30x = 272,514.72
  5. Step 5: Solve for x
    x = 272,514.72/471.30
  6. Step 6: Final answer
    x = 578.22

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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.