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Finding the Fourth Proportional to 449.04, 619.32 and 293.76

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Solution

The fourth proportional to 449.04, 619.32 and 293.76 is: 405.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.04 : 619.32 = 293.76 : x
  2. Step 2: Convert to fraction form
    449.04/619.32 = 293.76/x
  3. Step 3: Cross multiply
    449.04x = 619.32 × 293.76
  4. Step 4: Simplify right side
    449.04x = 181,931.44
  5. Step 5: Solve for x
    x = 181,931.44/449.04
  6. Step 6: Final answer
    x = 405.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.