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Finding the Fourth Proportional to 420.71, 630.75 and 258.05

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Solution

The fourth proportional to 420.71, 630.75 and 258.05 is: 386.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.71 : 630.75 = 258.05 : x
  2. Step 2: Convert to fraction form
    420.71/630.75 = 258.05/x
  3. Step 3: Cross multiply
    420.71x = 630.75 × 258.05
  4. Step 4: Simplify right side
    420.71x = 162,767.58
  5. Step 5: Solve for x
    x = 162,767.58/420.71
  6. Step 6: Final answer
    x = 386.89

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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.