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Finding the Fourth Proportional to 652.80, 901.44 and 420.48

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Solution

The fourth proportional to 652.80, 901.44 and 420.48 is: 580.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.80 : 901.44 = 420.48 : x
  2. Step 2: Convert to fraction form
    652.80/901.44 = 420.48/x
  3. Step 3: Cross multiply
    652.80x = 901.44 × 420.48
  4. Step 4: Simplify right side
    652.80x = 379,037.49
  5. Step 5: Solve for x
    x = 379,037.49/652.80
  6. Step 6: Final answer
    x = 580.63

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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.