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Finding the Fourth Proportional to 418.90, 577.64 and 302.26

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Solution

The fourth proportional to 418.90, 577.64 and 302.26 is: 416.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.90 : 577.64 = 302.26 : x
  2. Step 2: Convert to fraction form
    418.90/577.64 = 302.26/x
  3. Step 3: Cross multiply
    418.90x = 577.64 × 302.26
  4. Step 4: Simplify right side
    418.90x = 174,597.47
  5. Step 5: Solve for x
    x = 174,597.47/418.90
  6. Step 6: Final answer
    x = 416.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.