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Finding the Fourth Proportional to 653.49, 980.13 and 214.74

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Solution

The fourth proportional to 653.49, 980.13 and 214.74 is: 322.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.49 : 980.13 = 214.74 : x
  2. Step 2: Convert to fraction form
    653.49/980.13 = 214.74/x
  3. Step 3: Cross multiply
    653.49x = 980.13 × 214.74
  4. Step 4: Simplify right side
    653.49x = 210,473.12
  5. Step 5: Solve for x
    x = 210,473.12/653.49
  6. Step 6: Final answer
    x = 322.08

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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.