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Finding the Fourth Proportional to 424.21, 585.76 and 350.98

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Solution

The fourth proportional to 424.21, 585.76 and 350.98 is: 484.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.21 : 585.76 = 350.98 : x
  2. Step 2: Convert to fraction form
    424.21/585.76 = 350.98/x
  3. Step 3: Cross multiply
    424.21x = 585.76 × 350.98
  4. Step 4: Simplify right side
    424.21x = 205,590.04
  5. Step 5: Solve for x
    x = 205,590.04/424.21
  6. Step 6: Final answer
    x = 484.64

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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.