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Finding the Fourth Proportional to 429.34, 642.51 and 307.86

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Solution

The fourth proportional to 429.34, 642.51 and 307.86 is: 460.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.34 : 642.51 = 307.86 : x
  2. Step 2: Convert to fraction form
    429.34/642.51 = 307.86/x
  3. Step 3: Cross multiply
    429.34x = 642.51 × 307.86
  4. Step 4: Simplify right side
    429.34x = 197,803.13
  5. Step 5: Solve for x
    x = 197,803.13/429.34
  6. Step 6: Final answer
    x = 460.71

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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.