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Finding the Fourth Proportional to 640.02, 883.50 and 430.22

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Solution

The fourth proportional to 640.02, 883.50 and 430.22 is: 593.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.02 : 883.50 = 430.22 : x
  2. Step 2: Convert to fraction form
    640.02/883.50 = 430.22/x
  3. Step 3: Cross multiply
    640.02x = 883.50 × 430.22
  4. Step 4: Simplify right side
    640.02x = 380,099.37
  5. Step 5: Solve for x
    x = 380,099.37/640.02
  6. Step 6: Final answer
    x = 593.89

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Why These Related Problems?

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