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Finding the Fourth Proportional to 594.67, 891.20 and 377.86

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Solution

The fourth proportional to 594.67, 891.20 and 377.86 is: 566.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.67 : 891.20 = 377.86 : x
  2. Step 2: Convert to fraction form
    594.67/891.20 = 377.86/x
  3. Step 3: Cross multiply
    594.67x = 891.20 × 377.86
  4. Step 4: Simplify right side
    594.67x = 336,748.83
  5. Step 5: Solve for x
    x = 336,748.83/594.67
  6. Step 6: Final answer
    x = 566.28

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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.