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Finding the Fourth Proportional to 430.56, 645.84 and 235.44

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Solution

The fourth proportional to 430.56, 645.84 and 235.44 is: 353.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.56 : 645.84 = 235.44 : x
  2. Step 2: Convert to fraction form
    430.56/645.84 = 235.44/x
  3. Step 3: Cross multiply
    430.56x = 645.84 × 235.44
  4. Step 4: Simplify right side
    430.56x = 152,056.57
  5. Step 5: Solve for x
    x = 152,056.57/430.56
  6. Step 6: Final answer
    x = 353.16

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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.