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Finding the Fourth Proportional to 606.64, 837.18 and 357.83

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Solution

The fourth proportional to 606.64, 837.18 and 357.83 is: 493.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.64 : 837.18 = 357.83 : x
  2. Step 2: Convert to fraction form
    606.64/837.18 = 357.83/x
  3. Step 3: Cross multiply
    606.64x = 837.18 × 357.83
  4. Step 4: Simplify right side
    606.64x = 299,570.21
  5. Step 5: Solve for x
    x = 299,570.21/606.64
  6. Step 6: Final answer
    x = 493.82

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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.