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Finding the Fourth Proportional to 368.72, 508.68 and 280.04

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Solution

The fourth proportional to 368.72, 508.68 and 280.04 is: 386.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.72 : 508.68 = 280.04 : x
  2. Step 2: Convert to fraction form
    368.72/508.68 = 280.04/x
  3. Step 3: Cross multiply
    368.72x = 508.68 × 280.04
  4. Step 4: Simplify right side
    368.72x = 142,450.75
  5. Step 5: Solve for x
    x = 142,450.75/368.72
  6. Step 6: Final answer
    x = 386.34

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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.