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Finding the Fourth Proportional to 530.65, 796.09 and 206.02

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Solution

The fourth proportional to 530.65, 796.09 and 206.02 is: 309.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.65 : 796.09 = 206.02 : x
  2. Step 2: Convert to fraction form
    530.65/796.09 = 206.02/x
  3. Step 3: Cross multiply
    530.65x = 796.09 × 206.02
  4. Step 4: Simplify right side
    530.65x = 164,010.46
  5. Step 5: Solve for x
    x = 164,010.46/530.65
  6. Step 6: Final answer
    x = 309.07

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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.