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Finding the Fourth Proportional to 536.40, 804.54 and 399.66

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Solution

The fourth proportional to 536.40, 804.54 and 399.66 is: 599.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.40 : 804.54 = 399.66 : x
  2. Step 2: Convert to fraction form
    536.40/804.54 = 399.66/x
  3. Step 3: Cross multiply
    536.40x = 804.54 × 399.66
  4. Step 4: Simplify right side
    536.40x = 321,542.46
  5. Step 5: Solve for x
    x = 321,542.46/536.40
  6. Step 6: Final answer
    x = 599.45

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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.