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Finding the Fourth Proportional to 595.96, 891.20 and 566.80

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Solution

The fourth proportional to 595.96, 891.20 and 566.80 is: 847.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.96 : 891.20 = 566.80 : x
  2. Step 2: Convert to fraction form
    595.96/891.20 = 566.80/x
  3. Step 3: Cross multiply
    595.96x = 891.20 × 566.80
  4. Step 4: Simplify right side
    595.96x = 505,131.35
  5. Step 5: Solve for x
    x = 505,131.35/595.96
  6. Step 6: Final answer
    x = 847.60

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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.