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Finding the Fourth Proportional to 508.09, 701.51 and 319.11

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Solution

The fourth proportional to 508.09, 701.51 and 319.11 is: 440.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.09 : 701.51 = 319.11 : x
  2. Step 2: Convert to fraction form
    508.09/701.51 = 319.11/x
  3. Step 3: Cross multiply
    508.09x = 701.51 × 319.11
  4. Step 4: Simplify right side
    508.09x = 223,857.74
  5. Step 5: Solve for x
    x = 223,857.74/508.09
  6. Step 6: Final answer
    x = 440.59

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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.