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Finding the Fourth Proportional to 596.63, 895.26 and 308

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Solution

The fourth proportional to 596.63, 895.26 and 308 is: 462.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.63 : 895.26 = 308 : x
  2. Step 2: Convert to fraction form
    596.63/895.26 = 308/x
  3. Step 3: Cross multiply
    596.63x = 895.26 × 308
  4. Step 4: Simplify right side
    596.63x = 275,740.08
  5. Step 5: Solve for x
    x = 275,740.08/596.63
  6. Step 6: Final answer
    x = 462.16

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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.