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Finding the Fourth Proportional to 605.67, 909.72 and 442.86

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Solution

The fourth proportional to 605.67, 909.72 and 442.86 is: 665.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.67 : 909.72 = 442.86 : x
  2. Step 2: Convert to fraction form
    605.67/909.72 = 442.86/x
  3. Step 3: Cross multiply
    605.67x = 909.72 × 442.86
  4. Step 4: Simplify right side
    605.67x = 402,878.60
  5. Step 5: Solve for x
    x = 402,878.60/605.67
  6. Step 6: Final answer
    x = 665.18

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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.