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Finding the Fourth Proportional to 597.65, 824.76 and 332.10

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Solution

The fourth proportional to 597.65, 824.76 and 332.10 is: 458.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.65 : 824.76 = 332.10 : x
  2. Step 2: Convert to fraction form
    597.65/824.76 = 332.10/x
  3. Step 3: Cross multiply
    597.65x = 824.76 × 332.10
  4. Step 4: Simplify right side
    597.65x = 273,900.95
  5. Step 5: Solve for x
    x = 273,900.95/597.65
  6. Step 6: Final answer
    x = 458.29

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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.