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Finding the Fourth Proportional to 653.42, 980.20 and 288.45

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Solution

The fourth proportional to 653.42, 980.20 and 288.45 is: 432.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.42 : 980.20 = 288.45 : x
  2. Step 2: Convert to fraction form
    653.42/980.20 = 288.45/x
  3. Step 3: Cross multiply
    653.42x = 980.20 × 288.45
  4. Step 4: Simplify right side
    653.42x = 282,739.05
  5. Step 5: Solve for x
    x = 282,739.05/653.42
  6. Step 6: Final answer
    x = 432.70

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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.