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Finding the Fourth Proportional to 368.48, 508.47 and 219.11

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Solution

The fourth proportional to 368.48, 508.47 and 219.11 is: 302.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.48 : 508.47 = 219.11 : x
  2. Step 2: Convert to fraction form
    368.48/508.47 = 219.11/x
  3. Step 3: Cross multiply
    368.48x = 508.47 × 219.11
  4. Step 4: Simplify right side
    368.48x = 111,408.32
  5. Step 5: Solve for x
    x = 111,408.32/368.48
  6. Step 6: Final answer
    x = 302.35

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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.