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Finding the Fourth Proportional to 598.04, 825.32 and 365

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Solution

The fourth proportional to 598.04, 825.32 and 365 is: 503.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.04 : 825.32 = 365 : x
  2. Step 2: Convert to fraction form
    598.04/825.32 = 365/x
  3. Step 3: Cross multiply
    598.04x = 825.32 × 365
  4. Step 4: Simplify right side
    598.04x = 301,241.80
  5. Step 5: Solve for x
    x = 301,241.80/598.04
  6. Step 6: Final answer
    x = 503.72

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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.