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Finding the Fourth Proportional to 429.51, 591.86 and 311.11

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Solution

The fourth proportional to 429.51, 591.86 and 311.11 is: 428.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.51 : 591.86 = 311.11 : x
  2. Step 2: Convert to fraction form
    429.51/591.86 = 311.11/x
  3. Step 3: Cross multiply
    429.51x = 591.86 × 311.11
  4. Step 4: Simplify right side
    429.51x = 184,132.86
  5. Step 5: Solve for x
    x = 184,132.86/429.51
  6. Step 6: Final answer
    x = 428.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.