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Finding the Fourth Proportional to 653.86, 980.45 and 242.99

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Solution

The fourth proportional to 653.86, 980.45 and 242.99 is: 364.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.86 : 980.45 = 242.99 : x
  2. Step 2: Convert to fraction form
    653.86/980.45 = 242.99/x
  3. Step 3: Cross multiply
    653.86x = 980.45 × 242.99
  4. Step 4: Simplify right side
    653.86x = 238,239.55
  5. Step 5: Solve for x
    x = 238,239.55/653.86
  6. Step 6: Final answer
    x = 364.36

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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.