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Finding the Fourth Proportional to 595.96, 893.94 and 287.66

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Solution

The fourth proportional to 595.96, 893.94 and 287.66 is: 431.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.96 : 893.94 = 287.66 : x
  2. Step 2: Convert to fraction form
    595.96/893.94 = 287.66/x
  3. Step 3: Cross multiply
    595.96x = 893.94 × 287.66
  4. Step 4: Simplify right side
    595.96x = 257,146.91
  5. Step 5: Solve for x
    x = 257,146.91/595.96
  6. Step 6: Final answer
    x = 431.48

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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.