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Finding the Fourth Proportional to 593.88, 819.63 and 360.87

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Solution

The fourth proportional to 593.88, 819.63 and 360.87 is: 498.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.88 : 819.63 = 360.87 : x
  2. Step 2: Convert to fraction form
    593.88/819.63 = 360.87/x
  3. Step 3: Cross multiply
    593.88x = 819.63 × 360.87
  4. Step 4: Simplify right side
    593.88x = 295,779.88
  5. Step 5: Solve for x
    x = 295,779.88/593.88
  6. Step 6: Final answer
    x = 498.05

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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.