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Finding the Fourth Proportional to 368.49, 508.45 and 219.16

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Solution

The fourth proportional to 368.49, 508.45 and 219.16 is: 302.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.49 : 508.45 = 219.16 : x
  2. Step 2: Convert to fraction form
    368.49/508.45 = 219.16/x
  3. Step 3: Cross multiply
    368.49x = 508.45 × 219.16
  4. Step 4: Simplify right side
    368.49x = 111,432.63
  5. Step 5: Solve for x
    x = 111,432.63/368.49
  6. Step 6: Final answer
    x = 302.40

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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.