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Finding the Fourth Proportional to 655.74, 904.33 and 419.42

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Solution

The fourth proportional to 655.74, 904.33 and 419.42 is: 578.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.74 : 904.33 = 419.42 : x
  2. Step 2: Convert to fraction form
    655.74/904.33 = 419.42/x
  3. Step 3: Cross multiply
    655.74x = 904.33 × 419.42
  4. Step 4: Simplify right side
    655.74x = 379,287.47
  5. Step 5: Solve for x
    x = 379,287.47/655.74
  6. Step 6: Final answer
    x = 578.42

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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.