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Finding the Fourth Proportional to 504.53, 756.34 and 175.23

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Solution

The fourth proportional to 504.53, 756.34 and 175.23 is: 262.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.53 : 756.34 = 175.23 : x
  2. Step 2: Convert to fraction form
    504.53/756.34 = 175.23/x
  3. Step 3: Cross multiply
    504.53x = 756.34 × 175.23
  4. Step 4: Simplify right side
    504.53x = 132,535.72
  5. Step 5: Solve for x
    x = 132,535.72/504.53
  6. Step 6: Final answer
    x = 262.69

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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.