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Finding the Fourth Proportional to 474.37, 654.93 and 363.64

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Solution

The fourth proportional to 474.37, 654.93 and 363.64 is: 502.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.37 : 654.93 = 363.64 : x
  2. Step 2: Convert to fraction form
    474.37/654.93 = 363.64/x
  3. Step 3: Cross multiply
    474.37x = 654.93 × 363.64
  4. Step 4: Simplify right side
    474.37x = 238,158.75
  5. Step 5: Solve for x
    x = 238,158.75/474.37
  6. Step 6: Final answer
    x = 502.05

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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.