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Finding the Fourth Proportional to 449.32, 671.01 and 362.76

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Solution

The fourth proportional to 449.32, 671.01 and 362.76 is: 541.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.32 : 671.01 = 362.76 : x
  2. Step 2: Convert to fraction form
    449.32/671.01 = 362.76/x
  3. Step 3: Cross multiply
    449.32x = 671.01 × 362.76
  4. Step 4: Simplify right side
    449.32x = 243,415.59
  5. Step 5: Solve for x
    x = 243,415.59/449.32
  6. Step 6: Final answer
    x = 541.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.