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Finding the Fourth Proportional to 446.07, 615.60 and 259.68

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Solution

The fourth proportional to 446.07, 615.60 and 259.68 is: 358.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.07 : 615.60 = 259.68 : x
  2. Step 2: Convert to fraction form
    446.07/615.60 = 259.68/x
  3. Step 3: Cross multiply
    446.07x = 615.60 × 259.68
  4. Step 4: Simplify right side
    446.07x = 159,859.01
  5. Step 5: Solve for x
    x = 159,859.01/446.07
  6. Step 6: Final answer
    x = 358.37

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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.