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Finding the Fourth Proportional to 653.33, 980.35 and 433.42

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Solution

The fourth proportional to 653.33, 980.35 and 433.42 is: 650.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.33 : 980.35 = 433.42 : x
  2. Step 2: Convert to fraction form
    653.33/980.35 = 433.42/x
  3. Step 3: Cross multiply
    653.33x = 980.35 × 433.42
  4. Step 4: Simplify right side
    653.33x = 424,899.76
  5. Step 5: Solve for x
    x = 424,899.76/653.33
  6. Step 6: Final answer
    x = 650.36

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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.