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Finding the Fourth Proportional to 532.83, 799.65 and 208.02

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Solution

The fourth proportional to 532.83, 799.65 and 208.02 is: 312.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.83 : 799.65 = 208.02 : x
  2. Step 2: Convert to fraction form
    532.83/799.65 = 208.02/x
  3. Step 3: Cross multiply
    532.83x = 799.65 × 208.02
  4. Step 4: Simplify right side
    532.83x = 166,343.19
  5. Step 5: Solve for x
    x = 166,343.19/532.83
  6. Step 6: Final answer
    x = 312.19

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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.