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Finding the Fourth Proportional to 507.84, 700.74 and 286.80

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Solution

The fourth proportional to 507.84, 700.74 and 286.80 is: 395.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.84 : 700.74 = 286.80 : x
  2. Step 2: Convert to fraction form
    507.84/700.74 = 286.80/x
  3. Step 3: Cross multiply
    507.84x = 700.74 × 286.80
  4. Step 4: Simplify right side
    507.84x = 200,972.23
  5. Step 5: Solve for x
    x = 200,972.23/507.84
  6. Step 6: Final answer
    x = 395.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.