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Finding the Fourth Proportional to 597.75, 825.03 and 365.01

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Solution

The fourth proportional to 597.75, 825.03 and 365.01 is: 503.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.75 : 825.03 = 365.01 : x
  2. Step 2: Convert to fraction form
    597.75/825.03 = 365.01/x
  3. Step 3: Cross multiply
    597.75x = 825.03 × 365.01
  4. Step 4: Simplify right side
    597.75x = 301,144.20
  5. Step 5: Solve for x
    x = 301,144.20/597.75
  6. Step 6: Final answer
    x = 503.80

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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.