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Finding the Fourth Proportional to 653.86, 980.78 and 288.65

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Solution

The fourth proportional to 653.86, 980.78 and 288.65 is: 432.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.86 : 980.78 = 288.65 : x
  2. Step 2: Convert to fraction form
    653.86/980.78 = 288.65/x
  3. Step 3: Cross multiply
    653.86x = 980.78 × 288.65
  4. Step 4: Simplify right side
    653.86x = 283,100.07
  5. Step 5: Solve for x
    x = 283,100.07/653.86
  6. Step 6: Final answer
    x = 432.97

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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.