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Finding the Fourth Proportional to 597.56, 824.63 and 361.50

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Solution

The fourth proportional to 597.56, 824.63 and 361.50 is: 498.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.56 : 824.63 = 361.50 : x
  2. Step 2: Convert to fraction form
    597.56/824.63 = 361.50/x
  3. Step 3: Cross multiply
    597.56x = 824.63 × 361.50
  4. Step 4: Simplify right side
    597.56x = 298,101.94
  5. Step 5: Solve for x
    x = 298,101.94/597.56
  6. Step 6: Final answer
    x = 498.87

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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.