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Finding the Fourth Proportional to 365.32, 504.82 and 296.84

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Solution

The fourth proportional to 365.32, 504.82 and 296.84 is: 410.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.32 : 504.82 = 296.84 : x
  2. Step 2: Convert to fraction form
    365.32/504.82 = 296.84/x
  3. Step 3: Cross multiply
    365.32x = 504.82 × 296.84
  4. Step 4: Simplify right side
    365.32x = 149,850.77
  5. Step 5: Solve for x
    x = 149,850.77/365.32
  6. Step 6: Final answer
    x = 410.19

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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.