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Finding the Fourth Proportional to 573.46, 858.06 and 342.48

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Solution

The fourth proportional to 573.46, 858.06 and 342.48 is: 512.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.46 : 858.06 = 342.48 : x
  2. Step 2: Convert to fraction form
    573.46/858.06 = 342.48/x
  3. Step 3: Cross multiply
    573.46x = 858.06 × 342.48
  4. Step 4: Simplify right side
    573.46x = 293,868.39
  5. Step 5: Solve for x
    x = 293,868.39/573.46
  6. Step 6: Final answer
    x = 512.45

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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.