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Finding the Fourth Proportional to 304.95, 420.21 and 282.53

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Solution

The fourth proportional to 304.95, 420.21 and 282.53 is: 389.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.95 : 420.21 = 282.53 : x
  2. Step 2: Convert to fraction form
    304.95/420.21 = 282.53/x
  3. Step 3: Cross multiply
    304.95x = 420.21 × 282.53
  4. Step 4: Simplify right side
    304.95x = 118,719.83
  5. Step 5: Solve for x
    x = 118,719.83/304.95
  6. Step 6: Final answer
    x = 389.31

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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.