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Finding the Fourth Proportional to 599.81, 900.54 and 437.42

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Solution

The fourth proportional to 599.81, 900.54 and 437.42 is: 656.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.81 : 900.54 = 437.42 : x
  2. Step 2: Convert to fraction form
    599.81/900.54 = 437.42/x
  3. Step 3: Cross multiply
    599.81x = 900.54 × 437.42
  4. Step 4: Simplify right side
    599.81x = 393,914.21
  5. Step 5: Solve for x
    x = 393,914.21/599.81
  6. Step 6: Final answer
    x = 656.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.