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Finding the Fourth Proportional to 437.94, 657.45 and 402.03

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Solution

The fourth proportional to 437.94, 657.45 and 402.03 is: 603.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.94 : 657.45 = 402.03 : x
  2. Step 2: Convert to fraction form
    437.94/657.45 = 402.03/x
  3. Step 3: Cross multiply
    437.94x = 657.45 × 402.03
  4. Step 4: Simplify right side
    437.94x = 264,314.62
  5. Step 5: Solve for x
    x = 264,314.62/437.94
  6. Step 6: Final answer
    x = 603.54

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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.