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Finding the Fourth Proportional to 640.23, 883.11 and 430.50

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Solution

The fourth proportional to 640.23, 883.11 and 430.50 is: 593.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.23 : 883.11 = 430.50 : x
  2. Step 2: Convert to fraction form
    640.23/883.11 = 430.50/x
  3. Step 3: Cross multiply
    640.23x = 883.11 × 430.50
  4. Step 4: Simplify right side
    640.23x = 380,178.86
  5. Step 5: Solve for x
    x = 380,178.86/640.23
  6. Step 6: Final answer
    x = 593.82

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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.