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Finding the Fourth Proportional to 621.18, 857.51 and 411.45

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Solution

The fourth proportional to 621.18, 857.51 and 411.45 is: 567.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.18 : 857.51 = 411.45 : x
  2. Step 2: Convert to fraction form
    621.18/857.51 = 411.45/x
  3. Step 3: Cross multiply
    621.18x = 857.51 × 411.45
  4. Step 4: Simplify right side
    621.18x = 352,820.43
  5. Step 5: Solve for x
    x = 352,820.43/621.18
  6. Step 6: Final answer
    x = 567.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.