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Finding the Fourth Proportional to 653.38, 980.16 and 288.16

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Solution

The fourth proportional to 653.38, 980.16 and 288.16 is: 432.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.38 : 980.16 = 288.16 : x
  2. Step 2: Convert to fraction form
    653.38/980.16 = 288.16/x
  3. Step 3: Cross multiply
    653.38x = 980.16 × 288.16
  4. Step 4: Simplify right side
    653.38x = 282,442.91
  5. Step 5: Solve for x
    x = 282,442.91/653.38
  6. Step 6: Final answer
    x = 432.28

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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.