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Finding the Fourth Proportional to 507.42, 700.14 and 286.38

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Solution

The fourth proportional to 507.42, 700.14 and 286.38 is: 395.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.42 : 700.14 = 286.38 : x
  2. Step 2: Convert to fraction form
    507.42/700.14 = 286.38/x
  3. Step 3: Cross multiply
    507.42x = 700.14 × 286.38
  4. Step 4: Simplify right side
    507.42x = 200,506.09
  5. Step 5: Solve for x
    x = 200,506.09/507.42
  6. Step 6: Final answer
    x = 395.15

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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.