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Finding the Fourth Proportional to 547.73, 756.23 and 430.18

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Solution

The fourth proportional to 547.73, 756.23 and 430.18 is: 593.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.73 : 756.23 = 430.18 : x
  2. Step 2: Convert to fraction form
    547.73/756.23 = 430.18/x
  3. Step 3: Cross multiply
    547.73x = 756.23 × 430.18
  4. Step 4: Simplify right side
    547.73x = 325,314.21
  5. Step 5: Solve for x
    x = 325,314.21/547.73
  6. Step 6: Final answer
    x = 593.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.