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Finding the Fourth Proportional to 507.71, 760.95 and 363.13

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Solution

The fourth proportional to 507.71, 760.95 and 363.13 is: 544.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.71 : 760.95 = 363.13 : x
  2. Step 2: Convert to fraction form
    507.71/760.95 = 363.13/x
  3. Step 3: Cross multiply
    507.71x = 760.95 × 363.13
  4. Step 4: Simplify right side
    507.71x = 276,319.97
  5. Step 5: Solve for x
    x = 276,319.97/507.71
  6. Step 6: Final answer
    x = 544.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.