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Finding the Fourth Proportional to 420.60, 630.24 and 257.94

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Solution

The fourth proportional to 420.60, 630.24 and 257.94 is: 386.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.60 : 630.24 = 257.94 : x
  2. Step 2: Convert to fraction form
    420.60/630.24 = 257.94/x
  3. Step 3: Cross multiply
    420.60x = 630.24 × 257.94
  4. Step 4: Simplify right side
    420.60x = 162,564.11
  5. Step 5: Solve for x
    x = 162,564.11/420.60
  6. Step 6: Final answer
    x = 386.51

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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.