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Finding the Fourth Proportional to 374.36, 560.74 and 271.82

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Solution

The fourth proportional to 374.36, 560.74 and 271.82 is: 407.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.36 : 560.74 = 271.82 : x
  2. Step 2: Convert to fraction form
    374.36/560.74 = 271.82/x
  3. Step 3: Cross multiply
    374.36x = 560.74 × 271.82
  4. Step 4: Simplify right side
    374.36x = 152,420.35
  5. Step 5: Solve for x
    x = 152,420.35/374.36
  6. Step 6: Final answer
    x = 407.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.