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Finding the Fourth Proportional to 652.23, 900.27 and 419.36

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Solution

The fourth proportional to 652.23, 900.27 and 419.36 is: 578.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.23 : 900.27 = 419.36 : x
  2. Step 2: Convert to fraction form
    652.23/900.27 = 419.36/x
  3. Step 3: Cross multiply
    652.23x = 900.27 × 419.36
  4. Step 4: Simplify right side
    652.23x = 377,532.73
  5. Step 5: Solve for x
    x = 377,532.73/652.23
  6. Step 6: Final answer
    x = 578.83

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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.