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Finding the Fourth Proportional to 366.35, 505.74 and 283.26

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Solution

The fourth proportional to 366.35, 505.74 and 283.26 is: 391.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.35 : 505.74 = 283.26 : x
  2. Step 2: Convert to fraction form
    366.35/505.74 = 283.26/x
  3. Step 3: Cross multiply
    366.35x = 505.74 × 283.26
  4. Step 4: Simplify right side
    366.35x = 143,254.50
  5. Step 5: Solve for x
    x = 143,254.50/366.35
  6. Step 6: Final answer
    x = 391.04

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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.