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Finding the Fourth Proportional to 655.97, 904.79 and 419.51

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Solution

The fourth proportional to 655.97, 904.79 and 419.51 is: 578.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.97 : 904.79 = 419.51 : x
  2. Step 2: Convert to fraction form
    655.97/904.79 = 419.51/x
  3. Step 3: Cross multiply
    655.97x = 904.79 × 419.51
  4. Step 4: Simplify right side
    655.97x = 379,571.76
  5. Step 5: Solve for x
    x = 379,571.76/655.97
  6. Step 6: Final answer
    x = 578.65

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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.