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Finding the Fourth Proportional to 580.84, 800.62 and 456.30

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Solution

The fourth proportional to 580.84, 800.62 and 456.30 is: 628.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.84 : 800.62 = 456.30 : x
  2. Step 2: Convert to fraction form
    580.84/800.62 = 456.30/x
  3. Step 3: Cross multiply
    580.84x = 800.62 × 456.30
  4. Step 4: Simplify right side
    580.84x = 365,321.77
  5. Step 5: Solve for x
    x = 365,321.77/580.84
  6. Step 6: Final answer
    x = 628.96

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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.