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Finding the Fourth Proportional to 573.24, 860 and 313.12

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Solution

The fourth proportional to 573.24, 860 and 313.12 is: 469.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.24 : 860 = 313.12 : x
  2. Step 2: Convert to fraction form
    573.24/860 = 313.12/x
  3. Step 3: Cross multiply
    573.24x = 860 × 313.12
  4. Step 4: Simplify right side
    573.24x = 269,283.20
  5. Step 5: Solve for x
    x = 269,283.20/573.24
  6. Step 6: Final answer
    x = 469.76

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Why These Related Problems?

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