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Finding the Fourth Proportional to 597.62, 824.67 and 332.06

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Solution

The fourth proportional to 597.62, 824.67 and 332.06 is: 458.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.62 : 824.67 = 332.06 : x
  2. Step 2: Convert to fraction form
    597.62/824.67 = 332.06/x
  3. Step 3: Cross multiply
    597.62x = 824.67 × 332.06
  4. Step 4: Simplify right side
    597.62x = 273,835.80
  5. Step 5: Solve for x
    x = 273,835.80/597.62
  6. Step 6: Final answer
    x = 458.21

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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.