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Finding the Fourth Proportional to 471.17, 649.80 and 424.05

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Solution

The fourth proportional to 471.17, 649.80 and 424.05 is: 584.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.17 : 649.80 = 424.05 : x
  2. Step 2: Convert to fraction form
    471.17/649.80 = 424.05/x
  3. Step 3: Cross multiply
    471.17x = 649.80 × 424.05
  4. Step 4: Simplify right side
    471.17x = 275,547.69
  5. Step 5: Solve for x
    x = 275,547.69/471.17
  6. Step 6: Final answer
    x = 584.82

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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.