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Finding the Fourth Proportional to 368.40, 508.34 and 211.04

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Solution

The fourth proportional to 368.40, 508.34 and 211.04 is: 291.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.40 : 508.34 = 211.04 : x
  2. Step 2: Convert to fraction form
    368.40/508.34 = 211.04/x
  3. Step 3: Cross multiply
    368.40x = 508.34 × 211.04
  4. Step 4: Simplify right side
    368.40x = 107,280.07
  5. Step 5: Solve for x
    x = 107,280.07/368.40
  6. Step 6: Final answer
    x = 291.21

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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.