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Finding the Fourth Proportional to 592.32, 886.77 and 446.69

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Solution

The fourth proportional to 592.32, 886.77 and 446.69 is: 668.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.32 : 886.77 = 446.69 : x
  2. Step 2: Convert to fraction form
    592.32/886.77 = 446.69/x
  3. Step 3: Cross multiply
    592.32x = 886.77 × 446.69
  4. Step 4: Simplify right side
    592.32x = 396,106.86
  5. Step 5: Solve for x
    x = 396,106.86/592.32
  6. Step 6: Final answer
    x = 668.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.