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Finding the Fourth Proportional to 530.93, 796.53 and 206.39

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Solution

The fourth proportional to 530.93, 796.53 and 206.39 is: 309.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.93 : 796.53 = 206.39 : x
  2. Step 2: Convert to fraction form
    530.93/796.53 = 206.39/x
  3. Step 3: Cross multiply
    530.93x = 796.53 × 206.39
  4. Step 4: Simplify right side
    530.93x = 164,395.83
  5. Step 5: Solve for x
    x = 164,395.83/530.93
  6. Step 6: Final answer
    x = 309.64

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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.