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Finding the Fourth Proportional to 536.85, 740.75 and 370.80

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Solution

The fourth proportional to 536.85, 740.75 and 370.80 is: 511.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.85 : 740.75 = 370.80 : x
  2. Step 2: Convert to fraction form
    536.85/740.75 = 370.80/x
  3. Step 3: Cross multiply
    536.85x = 740.75 × 370.80
  4. Step 4: Simplify right side
    536.85x = 274,668.25
  5. Step 5: Solve for x
    x = 274,668.25/536.85
  6. Step 6: Final answer
    x = 511.63

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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.