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Finding the Fourth Proportional to 541.96, 811.63 and 310.14

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Solution

The fourth proportional to 541.96, 811.63 and 310.14 is: 464.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.96 : 811.63 = 310.14 : x
  2. Step 2: Convert to fraction form
    541.96/811.63 = 310.14/x
  3. Step 3: Cross multiply
    541.96x = 811.63 × 310.14
  4. Step 4: Simplify right side
    541.96x = 251,718.93
  5. Step 5: Solve for x
    x = 251,718.93/541.96
  6. Step 6: Final answer
    x = 464.46

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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.