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Finding the Fourth Proportional to 400.01, 598.73 and 214.45

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Solution

The fourth proportional to 400.01, 598.73 and 214.45 is: 320.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.01 : 598.73 = 214.45 : x
  2. Step 2: Convert to fraction form
    400.01/598.73 = 214.45/x
  3. Step 3: Cross multiply
    400.01x = 598.73 × 214.45
  4. Step 4: Simplify right side
    400.01x = 128,396.58
  5. Step 5: Solve for x
    x = 128,396.58/400.01
  6. Step 6: Final answer
    x = 320.98

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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.