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Finding the Fourth Proportional to 594.56, 820.40 and 332.59

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Solution

The fourth proportional to 594.56, 820.40 and 332.59 is: 458.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.56 : 820.40 = 332.59 : x
  2. Step 2: Convert to fraction form
    594.56/820.40 = 332.59/x
  3. Step 3: Cross multiply
    594.56x = 820.40 × 332.59
  4. Step 4: Simplify right side
    594.56x = 272,855.62
  5. Step 5: Solve for x
    x = 272,855.62/594.56
  6. Step 6: Final answer
    x = 458.92

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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.