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Finding the Fourth Proportional to 365.06, 502.62 and 346.82

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Solution

The fourth proportional to 365.06, 502.62 and 346.82 is: 477.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.06 : 502.62 = 346.82 : x
  2. Step 2: Convert to fraction form
    365.06/502.62 = 346.82/x
  3. Step 3: Cross multiply
    365.06x = 502.62 × 346.82
  4. Step 4: Simplify right side
    365.06x = 174,318.67
  5. Step 5: Solve for x
    x = 174,318.67/365.06
  6. Step 6: Final answer
    x = 477.51

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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.