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Finding the Fourth Proportional to 653.22, 980.16 and 283.05

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Solution

The fourth proportional to 653.22, 980.16 and 283.05 is: 424.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.22 : 980.16 = 283.05 : x
  2. Step 2: Convert to fraction form
    653.22/980.16 = 283.05/x
  3. Step 3: Cross multiply
    653.22x = 980.16 × 283.05
  4. Step 4: Simplify right side
    653.22x = 277,434.29
  5. Step 5: Solve for x
    x = 277,434.29/653.22
  6. Step 6: Final answer
    x = 424.72

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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.