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Finding the Fourth Proportional to 653.79, 980.06 and 220.71

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Solution

The fourth proportional to 653.79, 980.06 and 220.71 is: 330.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.79 : 980.06 = 220.71 : x
  2. Step 2: Convert to fraction form
    653.79/980.06 = 220.71/x
  3. Step 3: Cross multiply
    653.79x = 980.06 × 220.71
  4. Step 4: Simplify right side
    653.79x = 216,307.94
  5. Step 5: Solve for x
    x = 216,307.94/653.79
  6. Step 6: Final answer
    x = 330.85

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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.