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Finding the Fourth Proportional to 655.29, 903.99 and 419.12

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Solution

The fourth proportional to 655.29, 903.99 and 419.12 is: 578.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.29 : 903.99 = 419.12 : x
  2. Step 2: Convert to fraction form
    655.29/903.99 = 419.12/x
  3. Step 3: Cross multiply
    655.29x = 903.99 × 419.12
  4. Step 4: Simplify right side
    655.29x = 378,880.29
  5. Step 5: Solve for x
    x = 378,880.29/655.29
  6. Step 6: Final answer
    x = 578.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.