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Finding the Fourth Proportional to 597.79, 894.95 and 365.98

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Solution

The fourth proportional to 597.79, 894.95 and 365.98 is: 547.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.79 : 894.95 = 365.98 : x
  2. Step 2: Convert to fraction form
    597.79/894.95 = 365.98/x
  3. Step 3: Cross multiply
    597.79x = 894.95 × 365.98
  4. Step 4: Simplify right side
    597.79x = 327,530.27
  5. Step 5: Solve for x
    x = 327,530.27/597.79
  6. Step 6: Final answer
    x = 547.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.