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Finding the Fourth Proportional to 418.84, 577.99 and 259.28

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Solution

The fourth proportional to 418.84, 577.99 and 259.28 is: 357.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.84 : 577.99 = 259.28 : x
  2. Step 2: Convert to fraction form
    418.84/577.99 = 259.28/x
  3. Step 3: Cross multiply
    418.84x = 577.99 × 259.28
  4. Step 4: Simplify right side
    418.84x = 149,862.64
  5. Step 5: Solve for x
    x = 149,862.64/418.84
  6. Step 6: Final answer
    x = 357.81

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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.