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Finding the Fourth Proportional to 399.82, 598.87 and 307.84

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Solution

The fourth proportional to 399.82, 598.87 and 307.84 is: 461.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.82 : 598.87 = 307.84 : x
  2. Step 2: Convert to fraction form
    399.82/598.87 = 307.84/x
  3. Step 3: Cross multiply
    399.82x = 598.87 × 307.84
  4. Step 4: Simplify right side
    399.82x = 184,356.14
  5. Step 5: Solve for x
    x = 184,356.14/399.82
  6. Step 6: Final answer
    x = 461.10

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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.