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Finding the Fourth Proportional to 407.79, 561.48 and 365.22

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Solution

The fourth proportional to 407.79, 561.48 and 365.22 is: 502.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.79 : 561.48 = 365.22 : x
  2. Step 2: Convert to fraction form
    407.79/561.48 = 365.22/x
  3. Step 3: Cross multiply
    407.79x = 561.48 × 365.22
  4. Step 4: Simplify right side
    407.79x = 205,063.73
  5. Step 5: Solve for x
    x = 205,063.73/407.79
  6. Step 6: Final answer
    x = 502.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.