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Finding the Fourth Proportional to 403.64, 555.89 and 367.19

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Solution

The fourth proportional to 403.64, 555.89 and 367.19 is: 505.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.64 : 555.89 = 367.19 : x
  2. Step 2: Convert to fraction form
    403.64/555.89 = 367.19/x
  3. Step 3: Cross multiply
    403.64x = 555.89 × 367.19
  4. Step 4: Simplify right side
    403.64x = 204,117.25
  5. Step 5: Solve for x
    x = 204,117.25/403.64
  6. Step 6: Final answer
    x = 505.69

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Why These Related Problems?

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