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Finding the Fourth Proportional to 547.70, 820.63 and 287.08

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Solution

The fourth proportional to 547.70, 820.63 and 287.08 is: 430.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.70 : 820.63 = 287.08 : x
  2. Step 2: Convert to fraction form
    547.70/820.63 = 287.08/x
  3. Step 3: Cross multiply
    547.70x = 820.63 × 287.08
  4. Step 4: Simplify right side
    547.70x = 235,584.77
  5. Step 5: Solve for x
    x = 235,584.77/547.70
  6. Step 6: Final answer
    x = 430.14

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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.