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Finding the Fourth Proportional to 446.05, 615.49 and 259.57

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Solution

The fourth proportional to 446.05, 615.49 and 259.57 is: 358.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.05 : 615.49 = 259.57 : x
  2. Step 2: Convert to fraction form
    446.05/615.49 = 259.57/x
  3. Step 3: Cross multiply
    446.05x = 615.49 × 259.57
  4. Step 4: Simplify right side
    446.05x = 159,762.74
  5. Step 5: Solve for x
    x = 159,762.74/446.05
  6. Step 6: Final answer
    x = 358.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.