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Finding the Fourth Proportional to 654.84, 904 and 422.10

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Solution

The fourth proportional to 654.84, 904 and 422.10 is: 582.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.84 : 904 = 422.10 : x
  2. Step 2: Convert to fraction form
    654.84/904 = 422.10/x
  3. Step 3: Cross multiply
    654.84x = 904 × 422.10
  4. Step 4: Simplify right side
    654.84x = 381,578.40
  5. Step 5: Solve for x
    x = 381,578.40/654.84
  6. Step 6: Final answer
    x = 582.70

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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.