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Finding the Fourth Proportional to 624.84, 934.82 and 418.42

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Solution

The fourth proportional to 624.84, 934.82 and 418.42 is: 626.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.84 : 934.82 = 418.42 : x
  2. Step 2: Convert to fraction form
    624.84/934.82 = 418.42/x
  3. Step 3: Cross multiply
    624.84x = 934.82 × 418.42
  4. Step 4: Simplify right side
    624.84x = 391,147.38
  5. Step 5: Solve for x
    x = 391,147.38/624.84
  6. Step 6: Final answer
    x = 626.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.