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Finding the Fourth Proportional to 606.76, 837 and 358.06

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Solution

The fourth proportional to 606.76, 837 and 358.06 is: 493.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.76 : 837 = 358.06 : x
  2. Step 2: Convert to fraction form
    606.76/837 = 358.06/x
  3. Step 3: Cross multiply
    606.76x = 837 × 358.06
  4. Step 4: Simplify right side
    606.76x = 299,696.22
  5. Step 5: Solve for x
    x = 299,696.22/606.76
  6. Step 6: Final answer
    x = 493.93

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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.