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Finding the Fourth Proportional to 597.46, 824.86 and 411.28

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Solution

The fourth proportional to 597.46, 824.86 and 411.28 is: 567.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.46 : 824.86 = 411.28 : x
  2. Step 2: Convert to fraction form
    597.46/824.86 = 411.28/x
  3. Step 3: Cross multiply
    597.46x = 824.86 × 411.28
  4. Step 4: Simplify right side
    597.46x = 339,248.42
  5. Step 5: Solve for x
    x = 339,248.42/597.46
  6. Step 6: Final answer
    x = 567.82

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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.