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Finding the Fourth Proportional to 442.99, 664.49 and 430.84

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Solution

The fourth proportional to 442.99, 664.49 and 430.84 is: 646.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.99 : 664.49 = 430.84 : x
  2. Step 2: Convert to fraction form
    442.99/664.49 = 430.84/x
  3. Step 3: Cross multiply
    442.99x = 664.49 × 430.84
  4. Step 4: Simplify right side
    442.99x = 286,288.87
  5. Step 5: Solve for x
    x = 286,288.87/442.99
  6. Step 6: Final answer
    x = 646.26

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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.