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Finding the Fourth Proportional to 652.74, 901.38 and 420.26

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Solution

The fourth proportional to 652.74, 901.38 and 420.26 is: 580.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.74 : 901.38 = 420.26 : x
  2. Step 2: Convert to fraction form
    652.74/901.38 = 420.26/x
  3. Step 3: Cross multiply
    652.74x = 901.38 × 420.26
  4. Step 4: Simplify right side
    652.74x = 378,813.96
  5. Step 5: Solve for x
    x = 378,813.96/652.74
  6. Step 6: Final answer
    x = 580.34

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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.