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Finding the Fourth Proportional to 536.29, 804.59 and 308.13

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Solution

The fourth proportional to 536.29, 804.59 and 308.13 is: 462.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.29 : 804.59 = 308.13 : x
  2. Step 2: Convert to fraction form
    536.29/804.59 = 308.13/x
  3. Step 3: Cross multiply
    536.29x = 804.59 × 308.13
  4. Step 4: Simplify right side
    536.29x = 247,913.52
  5. Step 5: Solve for x
    x = 247,913.52/536.29
  6. Step 6: Final answer
    x = 462.28

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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.