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Finding the Fourth Proportional to 593.44, 819.24 and 407

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Solution

The fourth proportional to 593.44, 819.24 and 407 is: 561.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.44 : 819.24 = 407 : x
  2. Step 2: Convert to fraction form
    593.44/819.24 = 407/x
  3. Step 3: Cross multiply
    593.44x = 819.24 × 407
  4. Step 4: Simplify right side
    593.44x = 333,430.68
  5. Step 5: Solve for x
    x = 333,430.68/593.44
  6. Step 6: Final answer
    x = 561.87

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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.