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Finding the Fourth Proportional to 654.37, 901.72 and 467.53

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Solution

The fourth proportional to 654.37, 901.72 and 467.53 is: 644.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.37 : 901.72 = 467.53 : x
  2. Step 2: Convert to fraction form
    654.37/901.72 = 467.53/x
  3. Step 3: Cross multiply
    654.37x = 901.72 × 467.53
  4. Step 4: Simplify right side
    654.37x = 421,581.15
  5. Step 5: Solve for x
    x = 421,581.15/654.37
  6. Step 6: Final answer
    x = 644.26

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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.