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Finding the Fourth Proportional to 560.38, 840.06 and 300.26

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Solution

The fourth proportional to 560.38, 840.06 and 300.26 is: 450.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.38 : 840.06 = 300.26 : x
  2. Step 2: Convert to fraction form
    560.38/840.06 = 300.26/x
  3. Step 3: Cross multiply
    560.38x = 840.06 × 300.26
  4. Step 4: Simplify right side
    560.38x = 252,236.42
  5. Step 5: Solve for x
    x = 252,236.42/560.38
  6. Step 6: Final answer
    x = 450.12

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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.