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Finding the Fourth Proportional to 586.14, 809.15 and 446.28

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Solution

The fourth proportional to 586.14, 809.15 and 446.28 is: 616.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.14 : 809.15 = 446.28 : x
  2. Step 2: Convert to fraction form
    586.14/809.15 = 446.28/x
  3. Step 3: Cross multiply
    586.14x = 809.15 × 446.28
  4. Step 4: Simplify right side
    586.14x = 361,105.23
  5. Step 5: Solve for x
    x = 361,105.23/586.14
  6. Step 6: Final answer
    x = 616.07

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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.