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Finding the Fourth Proportional to 597.92, 825.36 and 365

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Solution

The fourth proportional to 597.92, 825.36 and 365 is: 503.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.92 : 825.36 = 365 : x
  2. Step 2: Convert to fraction form
    597.92/825.36 = 365/x
  3. Step 3: Cross multiply
    597.92x = 825.36 × 365
  4. Step 4: Simplify right side
    597.92x = 301,256.40
  5. Step 5: Solve for x
    x = 301,256.40/597.92
  6. Step 6: Final answer
    x = 503.84

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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.