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Finding the Fourth Proportional to 507.71, 700.16 and 360.83

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Solution

The fourth proportional to 507.71, 700.16 and 360.83 is: 497.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.71 : 700.16 = 360.83 : x
  2. Step 2: Convert to fraction form
    507.71/700.16 = 360.83/x
  3. Step 3: Cross multiply
    507.71x = 700.16 × 360.83
  4. Step 4: Simplify right side
    507.71x = 252,633.43
  5. Step 5: Solve for x
    x = 252,633.43/507.71
  6. Step 6: Final answer
    x = 497.60

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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.