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Finding the Fourth Proportional to 596.74, 893.88 and 442.84

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Solution

The fourth proportional to 596.74, 893.88 and 442.84 is: 663.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.74 : 893.88 = 442.84 : x
  2. Step 2: Convert to fraction form
    596.74/893.88 = 442.84/x
  3. Step 3: Cross multiply
    596.74x = 893.88 × 442.84
  4. Step 4: Simplify right side
    596.74x = 395,845.82
  5. Step 5: Solve for x
    x = 395,845.82/596.74
  6. Step 6: Final answer
    x = 663.35

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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.