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Finding the Fourth Proportional to 365.80, 501.95 and 332.92

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Solution

The fourth proportional to 365.80, 501.95 and 332.92 is: 456.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.80 : 501.95 = 332.92 : x
  2. Step 2: Convert to fraction form
    365.80/501.95 = 332.92/x
  3. Step 3: Cross multiply
    365.80x = 501.95 × 332.92
  4. Step 4: Simplify right side
    365.80x = 167,109.19
  5. Step 5: Solve for x
    x = 167,109.19/365.80
  6. Step 6: Final answer
    x = 456.83

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.