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Finding the Fourth Proportional to 988.57, 1,482.84 and 295.21

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Solution

The fourth proportional to 988.57, 1,482.84 and 295.21 is: 442.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.57 : 1,482.84 = 295.21 : x
  2. Step 2: Convert to fraction form
    988.57/1,482.84 = 295.21/x
  3. Step 3: Cross multiply
    988.57x = 1,482.84 × 295.21
  4. Step 4: Simplify right side
    988.57x = 437,749.20
  5. Step 5: Solve for x
    x = 437,749.20/988.57
  6. Step 6: Final answer
    x = 442.81

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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.