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Finding the Fourth Proportional to 667.86, 1,002.40 and 360.01

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Solution

The fourth proportional to 667.86, 1,002.40 and 360.01 is: 540.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.86 : 1,002.40 = 360.01 : x
  2. Step 2: Convert to fraction form
    667.86/1,002.40 = 360.01/x
  3. Step 3: Cross multiply
    667.86x = 1,002.40 × 360.01
  4. Step 4: Simplify right side
    667.86x = 360,874.38
  5. Step 5: Solve for x
    x = 360,874.38/667.86
  6. Step 6: Final answer
    x = 540.35

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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.