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Finding the Fourth Proportional to 579.96, 869.40 and 470.88

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Solution

The fourth proportional to 579.96, 869.40 and 470.88 is: 705.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.96 : 869.40 = 470.88 : x
  2. Step 2: Convert to fraction form
    579.96/869.40 = 470.88/x
  3. Step 3: Cross multiply
    579.96x = 869.40 × 470.88
  4. Step 4: Simplify right side
    579.96x = 409,383.07
  5. Step 5: Solve for x
    x = 409,383.07/579.96
  6. Step 6: Final answer
    x = 705.88

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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.