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Finding the Fourth Proportional to 654.29, 903.05 and 418.18

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Solution

The fourth proportional to 654.29, 903.05 and 418.18 is: 577.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.29 : 903.05 = 418.18 : x
  2. Step 2: Convert to fraction form
    654.29/903.05 = 418.18/x
  3. Step 3: Cross multiply
    654.29x = 903.05 × 418.18
  4. Step 4: Simplify right side
    654.29x = 377,637.45
  5. Step 5: Solve for x
    x = 377,637.45/654.29
  6. Step 6: Final answer
    x = 577.17

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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.