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Finding the Fourth Proportional to 309.99, 464.82 and 104.53

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Solution

The fourth proportional to 309.99, 464.82 and 104.53 is: 156.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.99 : 464.82 = 104.53 : x
  2. Step 2: Convert to fraction form
    309.99/464.82 = 104.53/x
  3. Step 3: Cross multiply
    309.99x = 464.82 × 104.53
  4. Step 4: Simplify right side
    309.99x = 48,587.63
  5. Step 5: Solve for x
    x = 48,587.63/309.99
  6. Step 6: Final answer
    x = 156.74

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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.