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Finding the Fourth Proportional to 653.49, 901.29 and 432.54

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Solution

The fourth proportional to 653.49, 901.29 and 432.54 is: 596.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.49 : 901.29 = 432.54 : x
  2. Step 2: Convert to fraction form
    653.49/901.29 = 432.54/x
  3. Step 3: Cross multiply
    653.49x = 901.29 × 432.54
  4. Step 4: Simplify right side
    653.49x = 389,843.98
  5. Step 5: Solve for x
    x = 389,843.98/653.49
  6. Step 6: Final answer
    x = 596.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.