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Finding the Fourth Proportional to 653.66, 980.49 and 364.94

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Solution

The fourth proportional to 653.66, 980.49 and 364.94 is: 547.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.66 : 980.49 = 364.94 : x
  2. Step 2: Convert to fraction form
    653.66/980.49 = 364.94/x
  3. Step 3: Cross multiply
    653.66x = 980.49 × 364.94
  4. Step 4: Simplify right side
    653.66x = 357,820.02
  5. Step 5: Solve for x
    x = 357,820.02/653.66
  6. Step 6: Final answer
    x = 547.41

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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.