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Finding the Fourth Proportional to 458.84, 633.12 and 284.06

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Solution

The fourth proportional to 458.84, 633.12 and 284.06 is: 391.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.84 : 633.12 = 284.06 : x
  2. Step 2: Convert to fraction form
    458.84/633.12 = 284.06/x
  3. Step 3: Cross multiply
    458.84x = 633.12 × 284.06
  4. Step 4: Simplify right side
    458.84x = 179,844.07
  5. Step 5: Solve for x
    x = 179,844.07/458.84
  6. Step 6: Final answer
    x = 391.95

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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.