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Finding the Fourth Proportional to 653.72, 980.42 and 306.72

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Solution

The fourth proportional to 653.72, 980.42 and 306.72 is: 460.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.72 : 980.42 = 306.72 : x
  2. Step 2: Convert to fraction form
    653.72/980.42 = 306.72/x
  3. Step 3: Cross multiply
    653.72x = 980.42 × 306.72
  4. Step 4: Simplify right side
    653.72x = 300,714.42
  5. Step 5: Solve for x
    x = 300,714.42/653.72
  6. Step 6: Final answer
    x = 460.01

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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.