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Finding the Fourth Proportional to 365.23, 546.36 and 296.92

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Solution

The fourth proportional to 365.23, 546.36 and 296.92 is: 444.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.23 : 546.36 = 296.92 : x
  2. Step 2: Convert to fraction form
    365.23/546.36 = 296.92/x
  3. Step 3: Cross multiply
    365.23x = 546.36 × 296.92
  4. Step 4: Simplify right side
    365.23x = 162,225.21
  5. Step 5: Solve for x
    x = 162,225.21/365.23
  6. Step 6: Final answer
    x = 444.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.