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Finding the Fourth Proportional to 586.08, 804.29 and 523.44

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Solution

The fourth proportional to 586.08, 804.29 and 523.44 is: 718.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.08 : 804.29 = 523.44 : x
  2. Step 2: Convert to fraction form
    586.08/804.29 = 523.44/x
  3. Step 3: Cross multiply
    586.08x = 804.29 × 523.44
  4. Step 4: Simplify right side
    586.08x = 420,994.94
  5. Step 5: Solve for x
    x = 420,994.94/586.08
  6. Step 6: Final answer
    x = 718.32

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.