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Finding the Fourth Proportional to 507.32, 700.75 and 374.81

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Solution

The fourth proportional to 507.32, 700.75 and 374.81 is: 517.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.32 : 700.75 = 374.81 : x
  2. Step 2: Convert to fraction form
    507.32/700.75 = 374.81/x
  3. Step 3: Cross multiply
    507.32x = 700.75 × 374.81
  4. Step 4: Simplify right side
    507.32x = 262,645.07
  5. Step 5: Solve for x
    x = 262,645.07/507.32
  6. Step 6: Final answer
    x = 517.71

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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.