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Finding the Fourth Proportional to 450.12, 621.14 and 284.24

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Solution

The fourth proportional to 450.12, 621.14 and 284.24 is: 392.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.12 : 621.14 = 284.24 : x
  2. Step 2: Convert to fraction form
    450.12/621.14 = 284.24/x
  3. Step 3: Cross multiply
    450.12x = 621.14 × 284.24
  4. Step 4: Simplify right side
    450.12x = 176,552.83
  5. Step 5: Solve for x
    x = 176,552.83/450.12
  6. Step 6: Final answer
    x = 392.24

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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.