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Finding the Fourth Proportional to 652.41, 901.13 and 528.21

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Solution

The fourth proportional to 652.41, 901.13 and 528.21 is: 729.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.41 : 901.13 = 528.21 : x
  2. Step 2: Convert to fraction form
    652.41/901.13 = 528.21/x
  3. Step 3: Cross multiply
    652.41x = 901.13 × 528.21
  4. Step 4: Simplify right side
    652.41x = 475,983.24
  5. Step 5: Solve for x
    x = 475,983.24/652.41
  6. Step 6: Final answer
    x = 729.58

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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.