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Finding the Fourth Proportional to 288.51, 430.67 and 250.26

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Solution

The fourth proportional to 288.51, 430.67 and 250.26 is: 373.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.51 : 430.67 = 250.26 : x
  2. Step 2: Convert to fraction form
    288.51/430.67 = 250.26/x
  3. Step 3: Cross multiply
    288.51x = 430.67 × 250.26
  4. Step 4: Simplify right side
    288.51x = 107,778.22
  5. Step 5: Solve for x
    x = 107,778.22/288.51
  6. Step 6: Final answer
    x = 373.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.