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Finding the Fourth Proportional to 606.48, 836.52 and 410.16

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Solution

The fourth proportional to 606.48, 836.52 and 410.16 is: 565.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.48 : 836.52 = 410.16 : x
  2. Step 2: Convert to fraction form
    606.48/836.52 = 410.16/x
  3. Step 3: Cross multiply
    606.48x = 836.52 × 410.16
  4. Step 4: Simplify right side
    606.48x = 343,107.04
  5. Step 5: Solve for x
    x = 343,107.04/606.48
  6. Step 6: Final answer
    x = 565.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.