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Finding the Fourth Proportional to 600.90, 900.90 and 384.06

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Solution

The fourth proportional to 600.90, 900.90 and 384.06 is: 575.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.90 : 900.90 = 384.06 : x
  2. Step 2: Convert to fraction form
    600.90/900.90 = 384.06/x
  3. Step 3: Cross multiply
    600.90x = 900.90 × 384.06
  4. Step 4: Simplify right side
    600.90x = 345,999.65
  5. Step 5: Solve for x
    x = 345,999.65/600.90
  6. Step 6: Final answer
    x = 575.80

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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.