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Finding the Fourth Proportional to 596.45, 895.69 and 366.69

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Solution

The fourth proportional to 596.45, 895.69 and 366.69 is: 550.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.45 : 895.69 = 366.69 : x
  2. Step 2: Convert to fraction form
    596.45/895.69 = 366.69/x
  3. Step 3: Cross multiply
    596.45x = 895.69 × 366.69
  4. Step 4: Simplify right side
    596.45x = 328,440.57
  5. Step 5: Solve for x
    x = 328,440.57/596.45
  6. Step 6: Final answer
    x = 550.66

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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.