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Finding the Fourth Proportional to 621.12, 854.88 and 455.06

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Solution

The fourth proportional to 621.12, 854.88 and 455.06 is: 626.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.12 : 854.88 = 455.06 : x
  2. Step 2: Convert to fraction form
    621.12/854.88 = 455.06/x
  3. Step 3: Cross multiply
    621.12x = 854.88 × 455.06
  4. Step 4: Simplify right side
    621.12x = 389,021.69
  5. Step 5: Solve for x
    x = 389,021.69/621.12
  6. Step 6: Final answer
    x = 626.32

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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.