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Finding the Fourth Proportional to 536.80, 740.16 and 371.14

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Solution

The fourth proportional to 536.80, 740.16 and 371.14 is: 511.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.80 : 740.16 = 371.14 : x
  2. Step 2: Convert to fraction form
    536.80/740.16 = 371.14/x
  3. Step 3: Cross multiply
    536.80x = 740.16 × 371.14
  4. Step 4: Simplify right side
    536.80x = 274,702.98
  5. Step 5: Solve for x
    x = 274,702.98/536.80
  6. Step 6: Final answer
    x = 511.74

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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.