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Finding the Fourth Proportional to 594.37, 820.23 and 345.86

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Solution

The fourth proportional to 594.37, 820.23 and 345.86 is: 477.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.37 : 820.23 = 345.86 : x
  2. Step 2: Convert to fraction form
    594.37/820.23 = 345.86/x
  3. Step 3: Cross multiply
    594.37x = 820.23 × 345.86
  4. Step 4: Simplify right side
    594.37x = 283,683.46
  5. Step 5: Solve for x
    x = 283,683.46/594.37
  6. Step 6: Final answer
    x = 477.28

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