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Finding the Fourth Proportional to 430.56, 591.57 and 352.80

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Solution

The fourth proportional to 430.56, 591.57 and 352.80 is: 484.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.56 : 591.57 = 352.80 : x
  2. Step 2: Convert to fraction form
    430.56/591.57 = 352.80/x
  3. Step 3: Cross multiply
    430.56x = 591.57 × 352.80
  4. Step 4: Simplify right side
    430.56x = 208,705.90
  5. Step 5: Solve for x
    x = 208,705.90/430.56
  6. Step 6: Final answer
    x = 484.73

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.