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Finding the Fourth Proportional to 536.46, 805.05 and 399.66

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Solution

The fourth proportional to 536.46, 805.05 and 399.66 is: 599.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.46 : 805.05 = 399.66 : x
  2. Step 2: Convert to fraction form
    536.46/805.05 = 399.66/x
  3. Step 3: Cross multiply
    536.46x = 805.05 × 399.66
  4. Step 4: Simplify right side
    536.46x = 321,746.28
  5. Step 5: Solve for x
    x = 321,746.28/536.46
  6. Step 6: Final answer
    x = 599.76

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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.