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Finding the Fourth Proportional to 437.42, 603.32 and 290.21

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Solution

The fourth proportional to 437.42, 603.32 and 290.21 is: 400.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.42 : 603.32 = 290.21 : x
  2. Step 2: Convert to fraction form
    437.42/603.32 = 290.21/x
  3. Step 3: Cross multiply
    437.42x = 603.32 × 290.21
  4. Step 4: Simplify right side
    437.42x = 175,085.03
  5. Step 5: Solve for x
    x = 175,085.03/437.42
  6. Step 6: Final answer
    x = 400.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.