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Finding the Fourth Proportional to 508.20, 700.96 and 319.20

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Solution

The fourth proportional to 508.20, 700.96 and 319.20 is: 440.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.20 : 700.96 = 319.20 : x
  2. Step 2: Convert to fraction form
    508.20/700.96 = 319.20/x
  3. Step 3: Cross multiply
    508.20x = 700.96 × 319.20
  4. Step 4: Simplify right side
    508.20x = 223,746.43
  5. Step 5: Solve for x
    x = 223,746.43/508.20
  6. Step 6: Final answer
    x = 440.27

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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.