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Finding the Fourth Proportional to 593.14, 888.94 and 429.17

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Solution

The fourth proportional to 593.14, 888.94 and 429.17 is: 643.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.14 : 888.94 = 429.17 : x
  2. Step 2: Convert to fraction form
    593.14/888.94 = 429.17/x
  3. Step 3: Cross multiply
    593.14x = 888.94 × 429.17
  4. Step 4: Simplify right side
    593.14x = 381,502.47
  5. Step 5: Solve for x
    x = 381,502.47/593.14
  6. Step 6: Final answer
    x = 643.19

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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.