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Finding the Fourth Proportional to 404.64, 606.48 and 283.14

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Solution

The fourth proportional to 404.64, 606.48 and 283.14 is: 424.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.64 : 606.48 = 283.14 : x
  2. Step 2: Convert to fraction form
    404.64/606.48 = 283.14/x
  3. Step 3: Cross multiply
    404.64x = 606.48 × 283.14
  4. Step 4: Simplify right side
    404.64x = 171,718.75
  5. Step 5: Solve for x
    x = 171,718.75/404.64
  6. Step 6: Final answer
    x = 424.37

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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.