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Finding the Fourth Proportional to 400.14, 599.00 and 292.01

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Solution

The fourth proportional to 400.14, 599.00 and 292.01 is: 437.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.14 : 599.00 = 292.01 : x
  2. Step 2: Convert to fraction form
    400.14/599.00 = 292.01/x
  3. Step 3: Cross multiply
    400.14x = 599.00 × 292.01
  4. Step 4: Simplify right side
    400.14x = 174,909.53
  5. Step 5: Solve for x
    x = 174,909.53/400.14
  6. Step 6: Final answer
    x = 437.12

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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.