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Finding the Fourth Proportional to 584.98, 876.86 and 238.18

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Solution

The fourth proportional to 584.98, 876.86 and 238.18 is: 357.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.98 : 876.86 = 238.18 : x
  2. Step 2: Convert to fraction form
    584.98/876.86 = 238.18/x
  3. Step 3: Cross multiply
    584.98x = 876.86 × 238.18
  4. Step 4: Simplify right side
    584.98x = 208,850.51
  5. Step 5: Solve for x
    x = 208,850.51/584.98
  6. Step 6: Final answer
    x = 357.02

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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.