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Finding the Fourth Proportional to 301, 448.76 and 282.64

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Solution

The fourth proportional to 301, 448.76 and 282.64 is: 421.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    301 : 448.76 = 282.64 : x
  2. Step 2: Convert to fraction form
    301/448.76 = 282.64/x
  3. Step 3: Cross multiply
    301x = 448.76 × 282.64
  4. Step 4: Simplify right side
    301x = 126,837.53
  5. Step 5: Solve for x
    x = 126,837.53/301
  6. Step 6: Final answer
    x = 421.39

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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.