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Finding the Fourth Proportional to 366.42, 505.78 and 300.78

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Solution

The fourth proportional to 366.42, 505.78 and 300.78 is: 415.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.42 : 505.78 = 300.78 : x
  2. Step 2: Convert to fraction form
    366.42/505.78 = 300.78/x
  3. Step 3: Cross multiply
    366.42x = 505.78 × 300.78
  4. Step 4: Simplify right side
    366.42x = 152,128.51
  5. Step 5: Solve for x
    x = 152,128.51/366.42
  6. Step 6: Final answer
    x = 415.18

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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.