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Finding the Fourth Proportional to 530.71, 796.16 and 206.06

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Solution

The fourth proportional to 530.71, 796.16 and 206.06 is: 309.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.71 : 796.16 = 206.06 : x
  2. Step 2: Convert to fraction form
    530.71/796.16 = 206.06/x
  3. Step 3: Cross multiply
    530.71x = 796.16 × 206.06
  4. Step 4: Simplify right side
    530.71x = 164,053.26
  5. Step 5: Solve for x
    x = 164,053.26/530.71
  6. Step 6: Final answer
    x = 309.12

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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.