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Finding the Fourth Proportional to 597.51, 824.65 and 361.46

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Solution

The fourth proportional to 597.51, 824.65 and 361.46 is: 498.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.51 : 824.65 = 361.46 : x
  2. Step 2: Convert to fraction form
    597.51/824.65 = 361.46/x
  3. Step 3: Cross multiply
    597.51x = 824.65 × 361.46
  4. Step 4: Simplify right side
    597.51x = 298,079.15
  5. Step 5: Solve for x
    x = 298,079.15/597.51
  6. Step 6: Final answer
    x = 498.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.