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Finding the Fourth Proportional to 621, 856.26 and 424.17

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Solution

The fourth proportional to 621, 856.26 and 424.17 is: 584.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    621 : 856.26 = 424.17 : x
  2. Step 2: Convert to fraction form
    621/856.26 = 424.17/x
  3. Step 3: Cross multiply
    621x = 856.26 × 424.17
  4. Step 4: Simplify right side
    621x = 363,199.80
  5. Step 5: Solve for x
    x = 363,199.80/621
  6. Step 6: Final answer
    x = 584.86

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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.