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Finding the Fourth Proportional to 595.22, 890.73 and 364.04

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Solution

The fourth proportional to 595.22, 890.73 and 364.04 is: 544.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.22 : 890.73 = 364.04 : x
  2. Step 2: Convert to fraction form
    595.22/890.73 = 364.04/x
  3. Step 3: Cross multiply
    595.22x = 890.73 × 364.04
  4. Step 4: Simplify right side
    595.22x = 324,261.35
  5. Step 5: Solve for x
    x = 324,261.35/595.22
  6. Step 6: Final answer
    x = 544.78

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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.