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Finding the Fourth Proportional to 653.46, 980.73 and 433.47

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Solution

The fourth proportional to 653.46, 980.73 and 433.47 is: 650.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.46 : 980.73 = 433.47 : x
  2. Step 2: Convert to fraction form
    653.46/980.73 = 433.47/x
  3. Step 3: Cross multiply
    653.46x = 980.73 × 433.47
  4. Step 4: Simplify right side
    653.46x = 425,117.03
  5. Step 5: Solve for x
    x = 425,117.03/653.46
  6. Step 6: Final answer
    x = 650.56

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1.5x scale

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.