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Finding the Fourth Proportional to 368.35, 508.43 and 211.07

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Solution

The fourth proportional to 368.35, 508.43 and 211.07 is: 291.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.35 : 508.43 = 211.07 : x
  2. Step 2: Convert to fraction form
    368.35/508.43 = 211.07/x
  3. Step 3: Cross multiply
    368.35x = 508.43 × 211.07
  4. Step 4: Simplify right side
    368.35x = 107,314.32
  5. Step 5: Solve for x
    x = 107,314.32/368.35
  6. Step 6: Final answer
    x = 291.34

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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.