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Finding the Fourth Proportional to 741.59, 1,111.98 and 308.51

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Solution

The fourth proportional to 741.59, 1,111.98 and 308.51 is: 462.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.59 : 1,111.98 = 308.51 : x
  2. Step 2: Convert to fraction form
    741.59/1,111.98 = 308.51/x
  3. Step 3: Cross multiply
    741.59x = 1,111.98 × 308.51
  4. Step 4: Simplify right side
    741.59x = 343,056.95
  5. Step 5: Solve for x
    x = 343,056.95/741.59
  6. Step 6: Final answer
    x = 462.60

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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.