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Finding the Fourth Proportional to 586.42, 809.37 and 376.86

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Solution

The fourth proportional to 586.42, 809.37 and 376.86 is: 520.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.42 : 809.37 = 376.86 : x
  2. Step 2: Convert to fraction form
    586.42/809.37 = 376.86/x
  3. Step 3: Cross multiply
    586.42x = 809.37 × 376.86
  4. Step 4: Simplify right side
    586.42x = 305,013.62
  5. Step 5: Solve for x
    x = 305,013.62/586.42
  6. Step 6: Final answer
    x = 520.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.