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Finding the Fourth Proportional to 509.68, 763.53 and 304.41

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Solution

The fourth proportional to 509.68, 763.53 and 304.41 is: 456.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.68 : 763.53 = 304.41 : x
  2. Step 2: Convert to fraction form
    509.68/763.53 = 304.41/x
  3. Step 3: Cross multiply
    509.68x = 763.53 × 304.41
  4. Step 4: Simplify right side
    509.68x = 232,424.26
  5. Step 5: Solve for x
    x = 232,424.26/509.68
  6. Step 6: Final answer
    x = 456.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.