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Finding the Fourth Proportional to 420.54, 631.49 and 259.25

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Solution

The fourth proportional to 420.54, 631.49 and 259.25 is: 389.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.54 : 631.49 = 259.25 : x
  2. Step 2: Convert to fraction form
    420.54/631.49 = 259.25/x
  3. Step 3: Cross multiply
    420.54x = 631.49 × 259.25
  4. Step 4: Simplify right side
    420.54x = 163,710.30
  5. Step 5: Solve for x
    x = 163,710.30/420.54
  6. Step 6: Final answer
    x = 389.29

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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.