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Finding the Fourth Proportional to 368.73, 508.14 and 297.72

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Solution

The fourth proportional to 368.73, 508.14 and 297.72 is: 410.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.73 : 508.14 = 297.72 : x
  2. Step 2: Convert to fraction form
    368.73/508.14 = 297.72/x
  3. Step 3: Cross multiply
    368.73x = 508.14 × 297.72
  4. Step 4: Simplify right side
    368.73x = 151,283.44
  5. Step 5: Solve for x
    x = 151,283.44/368.73
  6. Step 6: Final answer
    x = 410.28

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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.