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Finding the Fourth Proportional to 988.58, 1,482.96 and 258.17

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Solution

The fourth proportional to 988.58, 1,482.96 and 258.17 is: 387.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.58 : 1,482.96 = 258.17 : x
  2. Step 2: Convert to fraction form
    988.58/1,482.96 = 258.17/x
  3. Step 3: Cross multiply
    988.58x = 1,482.96 × 258.17
  4. Step 4: Simplify right side
    988.58x = 382,848.85
  5. Step 5: Solve for x
    x = 382,848.85/988.58
  6. Step 6: Final answer
    x = 387.27

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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.