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Finding the Fourth Proportional to 654.29, 979.53 and 435.14

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Solution

The fourth proportional to 654.29, 979.53 and 435.14 is: 651.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.29 : 979.53 = 435.14 : x
  2. Step 2: Convert to fraction form
    654.29/979.53 = 435.14/x
  3. Step 3: Cross multiply
    654.29x = 979.53 × 435.14
  4. Step 4: Simplify right side
    654.29x = 426,227.79
  5. Step 5: Solve for x
    x = 426,227.79/654.29
  6. Step 6: Final answer
    x = 651.44

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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.