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Finding the Fourth Proportional to 597.69, 825.30 and 508.29

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Solution

The fourth proportional to 597.69, 825.30 and 508.29 is: 701.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.69 : 825.30 = 508.29 : x
  2. Step 2: Convert to fraction form
    597.69/825.30 = 508.29/x
  3. Step 3: Cross multiply
    597.69x = 825.30 × 508.29
  4. Step 4: Simplify right side
    597.69x = 419,491.74
  5. Step 5: Solve for x
    x = 419,491.74/597.69
  6. Step 6: Final answer
    x = 701.86

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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.