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Finding the Fourth Proportional to 429.57, 591.31 and 370.75

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Solution

The fourth proportional to 429.57, 591.31 and 370.75 is: 510.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.57 : 591.31 = 370.75 : x
  2. Step 2: Convert to fraction form
    429.57/591.31 = 370.75/x
  3. Step 3: Cross multiply
    429.57x = 591.31 × 370.75
  4. Step 4: Simplify right side
    429.57x = 219,228.18
  5. Step 5: Solve for x
    x = 219,228.18/429.57
  6. Step 6: Final answer
    x = 510.34

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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.