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Finding the Fourth Proportional to 507.42, 700.38 and 286.50

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Solution

The fourth proportional to 507.42, 700.38 and 286.50 is: 395.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.42 : 700.38 = 286.50 : x
  2. Step 2: Convert to fraction form
    507.42/700.38 = 286.50/x
  3. Step 3: Cross multiply
    507.42x = 700.38 × 286.50
  4. Step 4: Simplify right side
    507.42x = 200,657.44
  5. Step 5: Solve for x
    x = 200,657.44/507.42
  6. Step 6: Final answer
    x = 395.45

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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.