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Finding the Fourth Proportional to 650.52, 973.71 and 430.70

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Solution

The fourth proportional to 650.52, 973.71 and 430.70 is: 644.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.52 : 973.71 = 430.70 : x
  2. Step 2: Convert to fraction form
    650.52/973.71 = 430.70/x
  3. Step 3: Cross multiply
    650.52x = 973.71 × 430.70
  4. Step 4: Simplify right side
    650.52x = 419,372.03
  5. Step 5: Solve for x
    x = 419,372.03/650.52
  6. Step 6: Final answer
    x = 644.67

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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.