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Finding the Fourth Proportional to 988.68, 1,483.24 and 295.40

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Solution

The fourth proportional to 988.68, 1,483.24 and 295.40 is: 443.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.68 : 1,483.24 = 295.40 : x
  2. Step 2: Convert to fraction form
    988.68/1,483.24 = 295.40/x
  3. Step 3: Cross multiply
    988.68x = 1,483.24 × 295.40
  4. Step 4: Simplify right side
    988.68x = 438,149.10
  5. Step 5: Solve for x
    x = 438,149.10/988.68
  6. Step 6: Final answer
    x = 443.17

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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.