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Finding the Fourth Proportional to 593.84, 819.18 and 360.98

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Solution

The fourth proportional to 593.84, 819.18 and 360.98 is: 497.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.84 : 819.18 = 360.98 : x
  2. Step 2: Convert to fraction form
    593.84/819.18 = 360.98/x
  3. Step 3: Cross multiply
    593.84x = 819.18 × 360.98
  4. Step 4: Simplify right side
    593.84x = 295,707.60
  5. Step 5: Solve for x
    x = 295,707.60/593.84
  6. Step 6: Final answer
    x = 497.96

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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.