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Finding the Fourth Proportional to 596.47, 894.72 and 271.93

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Solution

The fourth proportional to 596.47, 894.72 and 271.93 is: 407.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.47 : 894.72 = 271.93 : x
  2. Step 2: Convert to fraction form
    596.47/894.72 = 271.93/x
  3. Step 3: Cross multiply
    596.47x = 894.72 × 271.93
  4. Step 4: Simplify right side
    596.47x = 243,301.21
  5. Step 5: Solve for x
    x = 243,301.21/596.47
  6. Step 6: Final answer
    x = 407.90

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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.