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Finding the Fourth Proportional to 418.69, 577.84 and 302.32

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Solution

The fourth proportional to 418.69, 577.84 and 302.32 is: 417.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.69 : 577.84 = 302.32 : x
  2. Step 2: Convert to fraction form
    418.69/577.84 = 302.32/x
  3. Step 3: Cross multiply
    418.69x = 577.84 × 302.32
  4. Step 4: Simplify right side
    418.69x = 174,692.59
  5. Step 5: Solve for x
    x = 174,692.59/418.69
  6. Step 6: Final answer
    x = 417.24

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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.