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Finding the Fourth Proportional to 530.79, 796.01 and 206.07

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Solution

The fourth proportional to 530.79, 796.01 and 206.07 is: 309.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.79 : 796.01 = 206.07 : x
  2. Step 2: Convert to fraction form
    530.79/796.01 = 206.07/x
  3. Step 3: Cross multiply
    530.79x = 796.01 × 206.07
  4. Step 4: Simplify right side
    530.79x = 164,032.75
  5. Step 5: Solve for x
    x = 164,032.75/530.79
  6. Step 6: Final answer
    x = 309.04

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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.