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Finding the Fourth Proportional to 504.24, 756.47 and 157.57

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Solution

The fourth proportional to 504.24, 756.47 and 157.57 is: 236.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.24 : 756.47 = 157.57 : x
  2. Step 2: Convert to fraction form
    504.24/756.47 = 157.57/x
  3. Step 3: Cross multiply
    504.24x = 756.47 × 157.57
  4. Step 4: Simplify right side
    504.24x = 119,192.41
  5. Step 5: Solve for x
    x = 119,192.41/504.24
  6. Step 6: Final answer
    x = 236.38

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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.