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Finding the Fourth Proportional to 508.68, 764.04 and 303.65

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Solution

The fourth proportional to 508.68, 764.04 and 303.65 is: 456.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.68 : 764.04 = 303.65 : x
  2. Step 2: Convert to fraction form
    508.68/764.04 = 303.65/x
  3. Step 3: Cross multiply
    508.68x = 764.04 × 303.65
  4. Step 4: Simplify right side
    508.68x = 232,000.93
  5. Step 5: Solve for x
    x = 232,000.93/508.68
  6. Step 6: Final answer
    x = 456.08

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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.