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Finding the Fourth Proportional to 593.72, 819.36 and 419.12

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Solution

The fourth proportional to 593.72, 819.36 and 419.12 is: 578.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.72 : 819.36 = 419.12 : x
  2. Step 2: Convert to fraction form
    593.72/819.36 = 419.12/x
  3. Step 3: Cross multiply
    593.72x = 819.36 × 419.12
  4. Step 4: Simplify right side
    593.72x = 343,410.16
  5. Step 5: Solve for x
    x = 343,410.16/593.72
  6. Step 6: Final answer
    x = 578.40

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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.