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Finding the Fourth Proportional to 418.48, 628.08 and 386.08

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Solution

The fourth proportional to 418.48, 628.08 and 386.08 is: 579.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.48 : 628.08 = 386.08 : x
  2. Step 2: Convert to fraction form
    418.48/628.08 = 386.08/x
  3. Step 3: Cross multiply
    418.48x = 628.08 × 386.08
  4. Step 4: Simplify right side
    418.48x = 242,489.13
  5. Step 5: Solve for x
    x = 242,489.13/418.48
  6. Step 6: Final answer
    x = 579.45

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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.