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Finding the Fourth Proportional to 312.98, 432.08 and 242.89

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Solution

The fourth proportional to 312.98, 432.08 and 242.89 is: 335.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.98 : 432.08 = 242.89 : x
  2. Step 2: Convert to fraction form
    312.98/432.08 = 242.89/x
  3. Step 3: Cross multiply
    312.98x = 432.08 × 242.89
  4. Step 4: Simplify right side
    312.98x = 104,945.75
  5. Step 5: Solve for x
    x = 104,945.75/312.98
  6. Step 6: Final answer
    x = 335.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.