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Finding the Fourth Proportional to 899.49, 1,348.90 and 314.37

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Solution

The fourth proportional to 899.49, 1,348.90 and 314.37 is: 471.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.49 : 1,348.90 = 314.37 : x
  2. Step 2: Convert to fraction form
    899.49/1,348.90 = 314.37/x
  3. Step 3: Cross multiply
    899.49x = 1,348.90 × 314.37
  4. Step 4: Simplify right side
    899.49x = 424,053.69
  5. Step 5: Solve for x
    x = 424,053.69/899.49
  6. Step 6: Final answer
    x = 471.44

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1.5x scale

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.