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Finding the Fourth Proportional to 653.98, 980.68 and 288.88

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Solution

The fourth proportional to 653.98, 980.68 and 288.88 is: 433.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.98 : 980.68 = 288.88 : x
  2. Step 2: Convert to fraction form
    653.98/980.68 = 288.88/x
  3. Step 3: Cross multiply
    653.98x = 980.68 × 288.88
  4. Step 4: Simplify right side
    653.98x = 283,298.84
  5. Step 5: Solve for x
    x = 283,298.84/653.98
  6. Step 6: Final answer
    x = 433.19

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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.