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Finding the Fourth Proportional to 653.60, 980.13 and 288.13

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Solution

The fourth proportional to 653.60, 980.13 and 288.13 is: 432.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.60 : 980.13 = 288.13 : x
  2. Step 2: Convert to fraction form
    653.60/980.13 = 288.13/x
  3. Step 3: Cross multiply
    653.60x = 980.13 × 288.13
  4. Step 4: Simplify right side
    653.60x = 282,401.04
  5. Step 5: Solve for x
    x = 282,401.04/653.60
  6. Step 6: Final answer
    x = 432.07

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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.