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Finding the Fourth Proportional to 369.64, 507.29 and 363.24

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Solution

The fourth proportional to 369.64, 507.29 and 363.24 is: 498.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.64 : 507.29 = 363.24 : x
  2. Step 2: Convert to fraction form
    369.64/507.29 = 363.24/x
  3. Step 3: Cross multiply
    369.64x = 507.29 × 363.24
  4. Step 4: Simplify right side
    369.64x = 184,268.02
  5. Step 5: Solve for x
    x = 184,268.02/369.64
  6. Step 6: Final answer
    x = 498.51

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.