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Finding the Fourth Proportional to 573.85, 859.41 and 313.46

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Solution

The fourth proportional to 573.85, 859.41 and 313.46 is: 469.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.85 : 859.41 = 313.46 : x
  2. Step 2: Convert to fraction form
    573.85/859.41 = 313.46/x
  3. Step 3: Cross multiply
    573.85x = 859.41 × 313.46
  4. Step 4: Simplify right side
    573.85x = 269,392.81
  5. Step 5: Solve for x
    x = 269,392.81/573.85
  6. Step 6: Final answer
    x = 469.45

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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.