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Finding the Fourth Proportional to 606.84, 836.74 and 410

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Solution

The fourth proportional to 606.84, 836.74 and 410 is: 565.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.84 : 836.74 = 410 : x
  2. Step 2: Convert to fraction form
    606.84/836.74 = 410/x
  3. Step 3: Cross multiply
    606.84x = 836.74 × 410
  4. Step 4: Simplify right side
    606.84x = 343,063.40
  5. Step 5: Solve for x
    x = 343,063.40/606.84
  6. Step 6: Final answer
    x = 565.33

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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.