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Finding the Fourth Proportional to 509.84, 766.32 and 293.84

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Solution

The fourth proportional to 509.84, 766.32 and 293.84 is: 441.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.84 : 766.32 = 293.84 : x
  2. Step 2: Convert to fraction form
    509.84/766.32 = 293.84/x
  3. Step 3: Cross multiply
    509.84x = 766.32 × 293.84
  4. Step 4: Simplify right side
    509.84x = 225,175.47
  5. Step 5: Solve for x
    x = 225,175.47/509.84
  6. Step 6: Final answer
    x = 441.66

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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.