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Finding the Fourth Proportional to 652.08, 898.32 and 535.44

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Solution

The fourth proportional to 652.08, 898.32 and 535.44 is: 737.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.08 : 898.32 = 535.44 : x
  2. Step 2: Convert to fraction form
    652.08/898.32 = 535.44/x
  3. Step 3: Cross multiply
    652.08x = 898.32 × 535.44
  4. Step 4: Simplify right side
    652.08x = 480,996.46
  5. Step 5: Solve for x
    x = 480,996.46/652.08
  6. Step 6: Final answer
    x = 737.63

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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.