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Finding the Fourth Proportional to 652.16, 899.20 and 533.70

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Solution

The fourth proportional to 652.16, 899.20 and 533.70 is: 735.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.16 : 899.20 = 533.70 : x
  2. Step 2: Convert to fraction form
    652.16/899.20 = 533.70/x
  3. Step 3: Cross multiply
    652.16x = 899.20 × 533.70
  4. Step 4: Simplify right side
    652.16x = 479,903.04
  5. Step 5: Solve for x
    x = 479,903.04/652.16
  6. Step 6: Final answer
    x = 735.87

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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.