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Finding the Fourth Proportional to 988.20, 1,482.38 and 294.81

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Solution

The fourth proportional to 988.20, 1,482.38 and 294.81 is: 442.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.20 : 1,482.38 = 294.81 : x
  2. Step 2: Convert to fraction form
    988.20/1,482.38 = 294.81/x
  3. Step 3: Cross multiply
    988.20x = 1,482.38 × 294.81
  4. Step 4: Simplify right side
    988.20x = 437,026.20
  5. Step 5: Solve for x
    x = 437,026.20/988.20
  6. Step 6: Final answer
    x = 442.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.