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Finding the Fourth Proportional to 597.67, 824.25 and 401.46

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Solution

The fourth proportional to 597.67, 824.25 and 401.46 is: 553.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.67 : 824.25 = 401.46 : x
  2. Step 2: Convert to fraction form
    597.67/824.25 = 401.46/x
  3. Step 3: Cross multiply
    597.67x = 824.25 × 401.46
  4. Step 4: Simplify right side
    597.67x = 330,903.41
  5. Step 5: Solve for x
    x = 330,903.41/597.67
  6. Step 6: Final answer
    x = 553.66

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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.