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Finding the Fourth Proportional to 653.08, 980.16 and 470.56

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Solution

The fourth proportional to 653.08, 980.16 and 470.56 is: 706.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.08 : 980.16 = 470.56 : x
  2. Step 2: Convert to fraction form
    653.08/980.16 = 470.56/x
  3. Step 3: Cross multiply
    653.08x = 980.16 × 470.56
  4. Step 4: Simplify right side
    653.08x = 461,224.09
  5. Step 5: Solve for x
    x = 461,224.09/653.08
  6. Step 6: Final answer
    x = 706.23

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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.