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Finding the Fourth Proportional to 594.32, 892.38 and 362.86

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Solution

The fourth proportional to 594.32, 892.38 and 362.86 is: 544.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.32 : 892.38 = 362.86 : x
  2. Step 2: Convert to fraction form
    594.32/892.38 = 362.86/x
  3. Step 3: Cross multiply
    594.32x = 892.38 × 362.86
  4. Step 4: Simplify right side
    594.32x = 323,809.01
  5. Step 5: Solve for x
    x = 323,809.01/594.32
  6. Step 6: Final answer
    x = 544.84

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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.