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Finding the Fourth Proportional to 507.89, 700.80 and 286.85

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Solution

The fourth proportional to 507.89, 700.80 and 286.85 is: 395.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.89 : 700.80 = 286.85 : x
  2. Step 2: Convert to fraction form
    507.89/700.80 = 286.85/x
  3. Step 3: Cross multiply
    507.89x = 700.80 × 286.85
  4. Step 4: Simplify right side
    507.89x = 201,024.48
  5. Step 5: Solve for x
    x = 201,024.48/507.89
  6. Step 6: Final answer
    x = 395.80

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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.