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Finding the Fourth Proportional to 530.69, 796.33 and 206.09

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Solution

The fourth proportional to 530.69, 796.33 and 206.09 is: 309.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.69 : 796.33 = 206.09 : x
  2. Step 2: Convert to fraction form
    530.69/796.33 = 206.09/x
  3. Step 3: Cross multiply
    530.69x = 796.33 × 206.09
  4. Step 4: Simplify right side
    530.69x = 164,111.15
  5. Step 5: Solve for x
    x = 164,111.15/530.69
  6. Step 6: Final answer
    x = 309.24

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