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Finding the Fourth Proportional to 652.20, 899.82 and 419.46

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Solution

The fourth proportional to 652.20, 899.82 and 419.46 is: 578.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.20 : 899.82 = 419.46 : x
  2. Step 2: Convert to fraction form
    652.20/899.82 = 419.46/x
  3. Step 3: Cross multiply
    652.20x = 899.82 × 419.46
  4. Step 4: Simplify right side
    652.20x = 377,438.50
  5. Step 5: Solve for x
    x = 377,438.50/652.20
  6. Step 6: Final answer
    x = 578.72

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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.