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Finding the Fourth Proportional to 597.83, 824.99 and 332.27

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Solution

The fourth proportional to 597.83, 824.99 and 332.27 is: 458.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.83 : 824.99 = 332.27 : x
  2. Step 2: Convert to fraction form
    597.83/824.99 = 332.27/x
  3. Step 3: Cross multiply
    597.83x = 824.99 × 332.27
  4. Step 4: Simplify right side
    597.83x = 274,113.64
  5. Step 5: Solve for x
    x = 274,113.64/597.83
  6. Step 6: Final answer
    x = 458.52

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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.