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Finding the Fourth Proportional to 532.84, 799.74 and 208.84

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Solution

The fourth proportional to 532.84, 799.74 and 208.84 is: 313.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.84 : 799.74 = 208.84 : x
  2. Step 2: Convert to fraction form
    532.84/799.74 = 208.84/x
  3. Step 3: Cross multiply
    532.84x = 799.74 × 208.84
  4. Step 4: Simplify right side
    532.84x = 167,017.70
  5. Step 5: Solve for x
    x = 167,017.70/532.84
  6. Step 6: Final answer
    x = 313.45

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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.