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Finding the Fourth Proportional to 368.90, 509.05 and 211.53

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Solution

The fourth proportional to 368.90, 509.05 and 211.53 is: 291.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.90 : 509.05 = 211.53 : x
  2. Step 2: Convert to fraction form
    368.90/509.05 = 211.53/x
  3. Step 3: Cross multiply
    368.90x = 509.05 × 211.53
  4. Step 4: Simplify right side
    368.90x = 107,679.35
  5. Step 5: Solve for x
    x = 107,679.35/368.90
  6. Step 6: Final answer
    x = 291.89

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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.