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Finding the Fourth Proportional to 580.98, 801.81 and 332.34

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Solution

The fourth proportional to 580.98, 801.81 and 332.34 is: 458.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.98 : 801.81 = 332.34 : x
  2. Step 2: Convert to fraction form
    580.98/801.81 = 332.34/x
  3. Step 3: Cross multiply
    580.98x = 801.81 × 332.34
  4. Step 4: Simplify right side
    580.98x = 266,473.54
  5. Step 5: Solve for x
    x = 266,473.54/580.98
  6. Step 6: Final answer
    x = 458.66

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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.