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Finding the Fourth Proportional to 508.30, 761.83 and 276.68

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Solution

The fourth proportional to 508.30, 761.83 and 276.68 is: 414.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.30 : 761.83 = 276.68 : x
  2. Step 2: Convert to fraction form
    508.30/761.83 = 276.68/x
  3. Step 3: Cross multiply
    508.30x = 761.83 × 276.68
  4. Step 4: Simplify right side
    508.30x = 210,784.34
  5. Step 5: Solve for x
    x = 210,784.34/508.30
  6. Step 6: Final answer
    x = 414.69

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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.