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Finding the Fourth Proportional to 586.61, 809.57 and 337.94

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Solution

The fourth proportional to 586.61, 809.57 and 337.94 is: 466.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.61 : 809.57 = 337.94 : x
  2. Step 2: Convert to fraction form
    586.61/809.57 = 337.94/x
  3. Step 3: Cross multiply
    586.61x = 809.57 × 337.94
  4. Step 4: Simplify right side
    586.61x = 273,582.88
  5. Step 5: Solve for x
    x = 273,582.88/586.61
  6. Step 6: Final answer
    x = 466.38

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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.