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Finding the Fourth Proportional to 446.10, 615.66 and 259.65

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Solution

The fourth proportional to 446.10, 615.66 and 259.65 is: 358.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.10 : 615.66 = 259.65 : x
  2. Step 2: Convert to fraction form
    446.10/615.66 = 259.65/x
  3. Step 3: Cross multiply
    446.10x = 615.66 × 259.65
  4. Step 4: Simplify right side
    446.10x = 159,856.12
  5. Step 5: Solve for x
    x = 159,856.12/446.10
  6. Step 6: Final answer
    x = 358.34

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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.