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Finding the Fourth Proportional to 595.06, 820.89 and 361.78

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Solution

The fourth proportional to 595.06, 820.89 and 361.78 is: 499.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.06 : 820.89 = 361.78 : x
  2. Step 2: Convert to fraction form
    595.06/820.89 = 361.78/x
  3. Step 3: Cross multiply
    595.06x = 820.89 × 361.78
  4. Step 4: Simplify right side
    595.06x = 296,981.58
  5. Step 5: Solve for x
    x = 296,981.58/595.06
  6. Step 6: Final answer
    x = 499.08

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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.