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Finding the Fourth Proportional to 483.42, 725.07 and 175.26

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Solution

The fourth proportional to 483.42, 725.07 and 175.26 is: 262.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.42 : 725.07 = 175.26 : x
  2. Step 2: Convert to fraction form
    483.42/725.07 = 175.26/x
  3. Step 3: Cross multiply
    483.42x = 725.07 × 175.26
  4. Step 4: Simplify right side
    483.42x = 127,075.77
  5. Step 5: Solve for x
    x = 127,075.77/483.42
  6. Step 6: Final answer
    x = 262.87

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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.