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Finding the Fourth Proportional to 593.88, 819.57 and 361.14

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Solution

The fourth proportional to 593.88, 819.57 and 361.14 is: 498.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.88 : 819.57 = 361.14 : x
  2. Step 2: Convert to fraction form
    593.88/819.57 = 361.14/x
  3. Step 3: Cross multiply
    593.88x = 819.57 × 361.14
  4. Step 4: Simplify right side
    593.88x = 295,979.51
  5. Step 5: Solve for x
    x = 295,979.51/593.88
  6. Step 6: Final answer
    x = 498.38

Related Problems

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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.