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Finding the Fourth Proportional to 532.54, 798.96 and 208.14

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Solution

The fourth proportional to 532.54, 798.96 and 208.14 is: 312.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.54 : 798.96 = 208.14 : x
  2. Step 2: Convert to fraction form
    532.54/798.96 = 208.14/x
  3. Step 3: Cross multiply
    532.54x = 798.96 × 208.14
  4. Step 4: Simplify right side
    532.54x = 166,293.32
  5. Step 5: Solve for x
    x = 166,293.32/532.54
  6. Step 6: Final answer
    x = 312.26

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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.