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Finding the Fourth Proportional to 597.95, 825.18 and 365.08

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Solution

The fourth proportional to 597.95, 825.18 and 365.08 is: 503.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.95 : 825.18 = 365.08 : x
  2. Step 2: Convert to fraction form
    597.95/825.18 = 365.08/x
  3. Step 3: Cross multiply
    597.95x = 825.18 × 365.08
  4. Step 4: Simplify right side
    597.95x = 301,256.71
  5. Step 5: Solve for x
    x = 301,256.71/597.95
  6. Step 6: Final answer
    x = 503.82

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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.