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Finding the Fourth Proportional to 593.48, 819.44 and 407.36

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Solution

The fourth proportional to 593.48, 819.44 and 407.36 is: 562.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.48 : 819.44 = 407.36 : x
  2. Step 2: Convert to fraction form
    593.48/819.44 = 407.36/x
  3. Step 3: Cross multiply
    593.48x = 819.44 × 407.36
  4. Step 4: Simplify right side
    593.48x = 333,807.08
  5. Step 5: Solve for x
    x = 333,807.08/593.48
  6. Step 6: Final answer
    x = 562.46

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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.