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Finding the Fourth Proportional to 429.95, 593.48 and 282.62

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Solution

The fourth proportional to 429.95, 593.48 and 282.62 is: 390.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.95 : 593.48 = 282.62 : x
  2. Step 2: Convert to fraction form
    429.95/593.48 = 282.62/x
  3. Step 3: Cross multiply
    429.95x = 593.48 × 282.62
  4. Step 4: Simplify right side
    429.95x = 167,724.94
  5. Step 5: Solve for x
    x = 167,724.94/429.95
  6. Step 6: Final answer
    x = 390.11

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