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Finding the Fourth Proportional to 430.22, 645.37 and 247.26

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Solution

The fourth proportional to 430.22, 645.37 and 247.26 is: 370.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.22 : 645.37 = 247.26 : x
  2. Step 2: Convert to fraction form
    430.22/645.37 = 247.26/x
  3. Step 3: Cross multiply
    430.22x = 645.37 × 247.26
  4. Step 4: Simplify right side
    430.22x = 159,574.19
  5. Step 5: Solve for x
    x = 159,574.19/430.22
  6. Step 6: Final answer
    x = 370.91

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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.