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Finding the Fourth Proportional to 590.56, 884.76 and 460.96

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Solution

The fourth proportional to 590.56, 884.76 and 460.96 is: 690.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.56 : 884.76 = 460.96 : x
  2. Step 2: Convert to fraction form
    590.56/884.76 = 460.96/x
  3. Step 3: Cross multiply
    590.56x = 884.76 × 460.96
  4. Step 4: Simplify right side
    590.56x = 407,838.97
  5. Step 5: Solve for x
    x = 407,838.97/590.56
  6. Step 6: Final answer
    x = 690.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.