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Finding the Fourth Proportional to 429.25, 591.89 and 310.99

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Solution

The fourth proportional to 429.25, 591.89 and 310.99 is: 428.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.25 : 591.89 = 310.99 : x
  2. Step 2: Convert to fraction form
    429.25/591.89 = 310.99/x
  3. Step 3: Cross multiply
    429.25x = 591.89 × 310.99
  4. Step 4: Simplify right side
    429.25x = 184,068.84
  5. Step 5: Solve for x
    x = 184,068.84/429.25
  6. Step 6: Final answer
    x = 428.82

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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.