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Finding the Fourth Proportional to 593.89, 819.13 and 436.47

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Solution

The fourth proportional to 593.89, 819.13 and 436.47 is: 602.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.89 : 819.13 = 436.47 : x
  2. Step 2: Convert to fraction form
    593.89/819.13 = 436.47/x
  3. Step 3: Cross multiply
    593.89x = 819.13 × 436.47
  4. Step 4: Simplify right side
    593.89x = 357,525.67
  5. Step 5: Solve for x
    x = 357,525.67/593.89
  6. Step 6: Final answer
    x = 602.01

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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.