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Finding the Fourth Proportional to 593.02, 819.10 and 407.13

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Solution

The fourth proportional to 593.02, 819.10 and 407.13 is: 562.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.02 : 819.10 = 407.13 : x
  2. Step 2: Convert to fraction form
    593.02/819.10 = 407.13/x
  3. Step 3: Cross multiply
    593.02x = 819.10 × 407.13
  4. Step 4: Simplify right side
    593.02x = 333,474.05
  5. Step 5: Solve for x
    x = 333,474.05/593.02
  6. Step 6: Final answer
    x = 562.33

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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.