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Finding the Fourth Proportional to 597.08, 824.60 and 411.05

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Solution

The fourth proportional to 597.08, 824.60 and 411.05 is: 567.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.08 : 824.60 = 411.05 : x
  2. Step 2: Convert to fraction form
    597.08/824.60 = 411.05/x
  3. Step 3: Cross multiply
    597.08x = 824.60 × 411.05
  4. Step 4: Simplify right side
    597.08x = 338,955.44
  5. Step 5: Solve for x
    x = 338,955.44/597.08
  6. Step 6: Final answer
    x = 567.68

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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.