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Finding the Fourth Proportional to 593.37, 819.90 and 514.08

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Solution

The fourth proportional to 593.37, 819.90 and 514.08 is: 710.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.37 : 819.90 = 514.08 : x
  2. Step 2: Convert to fraction form
    593.37/819.90 = 514.08/x
  3. Step 3: Cross multiply
    593.37x = 819.90 × 514.08
  4. Step 4: Simplify right side
    593.37x = 421,494.19
  5. Step 5: Solve for x
    x = 421,494.19/593.37
  6. Step 6: Final answer
    x = 710.34

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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.