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Finding the Fourth Proportional to 597.65, 824.73 and 332.07

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Solution

The fourth proportional to 597.65, 824.73 and 332.07 is: 458.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.65 : 824.73 = 332.07 : x
  2. Step 2: Convert to fraction form
    597.65/824.73 = 332.07/x
  3. Step 3: Cross multiply
    597.65x = 824.73 × 332.07
  4. Step 4: Simplify right side
    597.65x = 273,868.09
  5. Step 5: Solve for x
    x = 273,868.09/597.65
  6. Step 6: Final answer
    x = 458.25

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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.