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Finding the Fourth Proportional to 314.69, 469.80 and 271.55

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Solution

The fourth proportional to 314.69, 469.80 and 271.55 is: 405.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.69 : 469.80 = 271.55 : x
  2. Step 2: Convert to fraction form
    314.69/469.80 = 271.55/x
  3. Step 3: Cross multiply
    314.69x = 469.80 × 271.55
  4. Step 4: Simplify right side
    314.69x = 127,575.36
  5. Step 5: Solve for x
    x = 127,575.36/314.69
  6. Step 6: Final answer
    x = 405.41

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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.