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Finding the Fourth Proportional to 446.96, 616.84 and 260.47

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Solution

The fourth proportional to 446.96, 616.84 and 260.47 is: 359.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.96 : 616.84 = 260.47 : x
  2. Step 2: Convert to fraction form
    446.96/616.84 = 260.47/x
  3. Step 3: Cross multiply
    446.96x = 616.84 × 260.47
  4. Step 4: Simplify right side
    446.96x = 160,666.12
  5. Step 5: Solve for x
    x = 160,666.12/446.96
  6. Step 6: Final answer
    x = 359.46

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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.