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Finding the Fourth Proportional to 595.80, 893.36 and 442.11

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Solution

The fourth proportional to 595.80, 893.36 and 442.11 is: 662.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.80 : 893.36 = 442.11 : x
  2. Step 2: Convert to fraction form
    595.80/893.36 = 442.11/x
  3. Step 3: Cross multiply
    595.80x = 893.36 × 442.11
  4. Step 4: Simplify right side
    595.80x = 394,961.18
  5. Step 5: Solve for x
    x = 394,961.18/595.80
  6. Step 6: Final answer
    x = 662.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.