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Finding the Fourth Proportional to 621.18, 857.07 and 414.18

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Solution

The fourth proportional to 621.18, 857.07 and 414.18 is: 571.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.18 : 857.07 = 414.18 : x
  2. Step 2: Convert to fraction form
    621.18/857.07 = 414.18/x
  3. Step 3: Cross multiply
    621.18x = 857.07 × 414.18
  4. Step 4: Simplify right side
    621.18x = 354,981.25
  5. Step 5: Solve for x
    x = 354,981.25/621.18
  6. Step 6: Final answer
    x = 571.46

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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.