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Finding the Fourth Proportional to 365.08, 504.10 and 346.62

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Solution

The fourth proportional to 365.08, 504.10 and 346.62 is: 478.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.08 : 504.10 = 346.62 : x
  2. Step 2: Convert to fraction form
    365.08/504.10 = 346.62/x
  3. Step 3: Cross multiply
    365.08x = 504.10 × 346.62
  4. Step 4: Simplify right side
    365.08x = 174,731.14
  5. Step 5: Solve for x
    x = 174,731.14/365.08
  6. Step 6: Final answer
    x = 478.61

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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.