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Finding the Fourth Proportional to 547.07, 755.00 and 314.19

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Solution

The fourth proportional to 547.07, 755.00 and 314.19 is: 433.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.07 : 755.00 = 314.19 : x
  2. Step 2: Convert to fraction form
    547.07/755.00 = 314.19/x
  3. Step 3: Cross multiply
    547.07x = 755.00 × 314.19
  4. Step 4: Simplify right side
    547.07x = 237,211.88
  5. Step 5: Solve for x
    x = 237,211.88/547.07
  6. Step 6: Final answer
    x = 433.61

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Double scale
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Why These Related Problems?

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