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Finding the Fourth Proportional to 530.92, 796.52 and 206.32

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Solution

The fourth proportional to 530.92, 796.52 and 206.32 is: 309.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.92 : 796.52 = 206.32 : x
  2. Step 2: Convert to fraction form
    530.92/796.52 = 206.32/x
  3. Step 3: Cross multiply
    530.92x = 796.52 × 206.32
  4. Step 4: Simplify right side
    530.92x = 164,338.01
  5. Step 5: Solve for x
    x = 164,338.01/530.92
  6. Step 6: Final answer
    x = 309.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.