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Finding the Fourth Proportional to 596.47, 893.98 and 253.75

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Solution

The fourth proportional to 596.47, 893.98 and 253.75 is: 380.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.47 : 893.98 = 253.75 : x
  2. Step 2: Convert to fraction form
    596.47/893.98 = 253.75/x
  3. Step 3: Cross multiply
    596.47x = 893.98 × 253.75
  4. Step 4: Simplify right side
    596.47x = 226,847.43
  5. Step 5: Solve for x
    x = 226,847.43/596.47
  6. Step 6: Final answer
    x = 380.32

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Double scale
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1.5x scale

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.