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Finding the Fourth Proportional to 446.47, 616.40 and 353.59

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Solution

The fourth proportional to 446.47, 616.40 and 353.59 is: 488.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.47 : 616.40 = 353.59 : x
  2. Step 2: Convert to fraction form
    446.47/616.40 = 353.59/x
  3. Step 3: Cross multiply
    446.47x = 616.40 × 353.59
  4. Step 4: Simplify right side
    446.47x = 217,950.89
  5. Step 5: Solve for x
    x = 217,950.89/446.47
  6. Step 6: Final answer
    x = 488.17

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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.