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Finding the Fourth Proportional to 598, 825.24 and 365.17

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Solution

The fourth proportional to 598, 825.24 and 365.17 is: 503.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    598 : 825.24 = 365.17 : x
  2. Step 2: Convert to fraction form
    598/825.24 = 365.17/x
  3. Step 3: Cross multiply
    598x = 825.24 × 365.17
  4. Step 4: Simplify right side
    598x = 301,352.89
  5. Step 5: Solve for x
    x = 301,352.89/598
  6. Step 6: Final answer
    x = 503.93

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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.