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Finding the Fourth Proportional to 606.77, 837.24 and 358.00

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Solution

The fourth proportional to 606.77, 837.24 and 358.00 is: 493.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.77 : 837.24 = 358.00 : x
  2. Step 2: Convert to fraction form
    606.77/837.24 = 358.00/x
  3. Step 3: Cross multiply
    606.77x = 837.24 × 358.00
  4. Step 4: Simplify right side
    606.77x = 299,727.73
  5. Step 5: Solve for x
    x = 299,727.73/606.77
  6. Step 6: Final answer
    x = 493.97

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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.