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Finding the Fourth Proportional to 484.95, 669.27 and 275.13

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Solution

The fourth proportional to 484.95, 669.27 and 275.13 is: 379.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.95 : 669.27 = 275.13 : x
  2. Step 2: Convert to fraction form
    484.95/669.27 = 275.13/x
  3. Step 3: Cross multiply
    484.95x = 669.27 × 275.13
  4. Step 4: Simplify right side
    484.95x = 184,136.26
  5. Step 5: Solve for x
    x = 184,136.26/484.95
  6. Step 6: Final answer
    x = 379.70

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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.