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Finding the Fourth Proportional to 420.10, 630.14 and 257.82

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Solution

The fourth proportional to 420.10, 630.14 and 257.82 is: 386.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.10 : 630.14 = 257.82 : x
  2. Step 2: Convert to fraction form
    420.10/630.14 = 257.82/x
  3. Step 3: Cross multiply
    420.10x = 630.14 × 257.82
  4. Step 4: Simplify right side
    420.10x = 162,462.69
  5. Step 5: Solve for x
    x = 162,462.69/420.10
  6. Step 6: Final answer
    x = 386.72

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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.