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Finding the Fourth Proportional to 653.53, 980.32 and 214.79

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Solution

The fourth proportional to 653.53, 980.32 and 214.79 is: 322.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.53 : 980.32 = 214.79 : x
  2. Step 2: Convert to fraction form
    653.53/980.32 = 214.79/x
  3. Step 3: Cross multiply
    653.53x = 980.32 × 214.79
  4. Step 4: Simplify right side
    653.53x = 210,561.86
  5. Step 5: Solve for x
    x = 210,561.86/653.53
  6. Step 6: Final answer
    x = 322.19

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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.