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Finding the Fourth Proportional to 655.56, 904.37 and 419.39

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Solution

The fourth proportional to 655.56, 904.37 and 419.39 is: 578.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.56 : 904.37 = 419.39 : x
  2. Step 2: Convert to fraction form
    655.56/904.37 = 419.39/x
  3. Step 3: Cross multiply
    655.56x = 904.37 × 419.39
  4. Step 4: Simplify right side
    655.56x = 379,277.12
  5. Step 5: Solve for x
    x = 379,277.12/655.56
  6. Step 6: Final answer
    x = 578.55

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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.