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Finding the Fourth Proportional to 597.07, 894.68 and 365.61

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Solution

The fourth proportional to 597.07, 894.68 and 365.61 is: 547.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.07 : 894.68 = 365.61 : x
  2. Step 2: Convert to fraction form
    597.07/894.68 = 365.61/x
  3. Step 3: Cross multiply
    597.07x = 894.68 × 365.61
  4. Step 4: Simplify right side
    597.07x = 327,106.85
  5. Step 5: Solve for x
    x = 327,106.85/597.07
  6. Step 6: Final answer
    x = 547.85

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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.