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Finding the Fourth Proportional to 484.65, 726.91 and 253.46

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Solution

The fourth proportional to 484.65, 726.91 and 253.46 is: 380.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.65 : 726.91 = 253.46 : x
  2. Step 2: Convert to fraction form
    484.65/726.91 = 253.46/x
  3. Step 3: Cross multiply
    484.65x = 726.91 × 253.46
  4. Step 4: Simplify right side
    484.65x = 184,243.79
  5. Step 5: Solve for x
    x = 184,243.79/484.65
  6. Step 6: Final answer
    x = 380.16

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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.