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Finding the Fourth Proportional to 595.56, 821.34 and 420.96

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Solution

The fourth proportional to 595.56, 821.34 and 420.96 is: 580.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.56 : 821.34 = 420.96 : x
  2. Step 2: Convert to fraction form
    595.56/821.34 = 420.96/x
  3. Step 3: Cross multiply
    595.56x = 821.34 × 420.96
  4. Step 4: Simplify right side
    595.56x = 345,751.29
  5. Step 5: Solve for x
    x = 345,751.29/595.56
  6. Step 6: Final answer
    x = 580.55

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Why These Related Problems?

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