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Finding the Fourth Proportional to 597.17, 824.19 and 410.69

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Solution

The fourth proportional to 597.17, 824.19 and 410.69 is: 566.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.17 : 824.19 = 410.69 : x
  2. Step 2: Convert to fraction form
    597.17/824.19 = 410.69/x
  3. Step 3: Cross multiply
    597.17x = 824.19 × 410.69
  4. Step 4: Simplify right side
    597.17x = 338,486.59
  5. Step 5: Solve for x
    x = 338,486.59/597.17
  6. Step 6: Final answer
    x = 566.82

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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.