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Finding the Fourth Proportional to 418.81, 630.69 and 365.35

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Solution

The fourth proportional to 418.81, 630.69 and 365.35 is: 550.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.81 : 630.69 = 365.35 : x
  2. Step 2: Convert to fraction form
    418.81/630.69 = 365.35/x
  3. Step 3: Cross multiply
    418.81x = 630.69 × 365.35
  4. Step 4: Simplify right side
    418.81x = 230,420.76
  5. Step 5: Solve for x
    x = 230,420.76/418.81
  6. Step 6: Final answer
    x = 550.18

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.