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Finding the Fourth Proportional to 492.34, 739.42 and 430.83

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Solution

The fourth proportional to 492.34, 739.42 and 430.83 is: 647.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.34 : 739.42 = 430.83 : x
  2. Step 2: Convert to fraction form
    492.34/739.42 = 430.83/x
  3. Step 3: Cross multiply
    492.34x = 739.42 × 430.83
  4. Step 4: Simplify right side
    492.34x = 318,558.47
  5. Step 5: Solve for x
    x = 318,558.47/492.34
  6. Step 6: Final answer
    x = 647.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.