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Finding the Fourth Proportional to 507.48, 700.32 and 286.46

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Solution

The fourth proportional to 507.48, 700.32 and 286.46 is: 395.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.48 : 700.32 = 286.46 : x
  2. Step 2: Convert to fraction form
    507.48/700.32 = 286.46/x
  3. Step 3: Cross multiply
    507.48x = 700.32 × 286.46
  4. Step 4: Simplify right side
    507.48x = 200,613.67
  5. Step 5: Solve for x
    x = 200,613.67/507.48
  6. Step 6: Final answer
    x = 395.31

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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.