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Finding the Fourth Proportional to 988.25, 1,482.31 and 294.92

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Solution

The fourth proportional to 988.25, 1,482.31 and 294.92 is: 442.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.25 : 1,482.31 = 294.92 : x
  2. Step 2: Convert to fraction form
    988.25/1,482.31 = 294.92/x
  3. Step 3: Cross multiply
    988.25x = 1,482.31 × 294.92
  4. Step 4: Simplify right side
    988.25x = 437,154.72
  5. Step 5: Solve for x
    x = 437,154.72/988.25
  6. Step 6: Final answer
    x = 442.35

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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.