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Finding the Fourth Proportional to 399.76, 598.71 and 278.11

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Solution

The fourth proportional to 399.76, 598.71 and 278.11 is: 416.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.76 : 598.71 = 278.11 : x
  2. Step 2: Convert to fraction form
    399.76/598.71 = 278.11/x
  3. Step 3: Cross multiply
    399.76x = 598.71 × 278.11
  4. Step 4: Simplify right side
    399.76x = 166,507.24
  5. Step 5: Solve for x
    x = 166,507.24/399.76
  6. Step 6: Final answer
    x = 416.52

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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.