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Finding the Fourth Proportional to 586.70, 809.56 and 334.58

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Solution

The fourth proportional to 586.70, 809.56 and 334.58 is: 461.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.70 : 809.56 = 334.58 : x
  2. Step 2: Convert to fraction form
    586.70/809.56 = 334.58/x
  3. Step 3: Cross multiply
    586.70x = 809.56 × 334.58
  4. Step 4: Simplify right side
    586.70x = 270,864.08
  5. Step 5: Solve for x
    x = 270,864.08/586.70
  6. Step 6: Final answer
    x = 461.68

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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.