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Finding the Fourth Proportional to 397.35, 547.70 and 309.87

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Solution

The fourth proportional to 397.35, 547.70 and 309.87 is: 427.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.35 : 547.70 = 309.87 : x
  2. Step 2: Convert to fraction form
    397.35/547.70 = 309.87/x
  3. Step 3: Cross multiply
    397.35x = 547.70 × 309.87
  4. Step 4: Simplify right side
    397.35x = 169,714.25
  5. Step 5: Solve for x
    x = 169,714.25/397.35
  6. Step 6: Final answer
    x = 427.12

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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.