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Finding the Fourth Proportional to 429.68, 643.62 and 356.38

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Solution

The fourth proportional to 429.68, 643.62 and 356.38 is: 533.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.68 : 643.62 = 356.38 : x
  2. Step 2: Convert to fraction form
    429.68/643.62 = 356.38/x
  3. Step 3: Cross multiply
    429.68x = 643.62 × 356.38
  4. Step 4: Simplify right side
    429.68x = 229,373.30
  5. Step 5: Solve for x
    x = 229,373.30/429.68
  6. Step 6: Final answer
    x = 533.82

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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.