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Finding the Fourth Proportional to 507.76, 700.68 and 286.72

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Solution

The fourth proportional to 507.76, 700.68 and 286.72 is: 395.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.76 : 700.68 = 286.72 : x
  2. Step 2: Convert to fraction form
    507.76/700.68 = 286.72/x
  3. Step 3: Cross multiply
    507.76x = 700.68 × 286.72
  4. Step 4: Simplify right side
    507.76x = 200,898.97
  5. Step 5: Solve for x
    x = 200,898.97/507.76
  6. Step 6: Final answer
    x = 395.66

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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.