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Finding the Fourth Proportional to 455.60, 629.40 and 421.04

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Solution

The fourth proportional to 455.60, 629.40 and 421.04 is: 581.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.60 : 629.40 = 421.04 : x
  2. Step 2: Convert to fraction form
    455.60/629.40 = 421.04/x
  3. Step 3: Cross multiply
    455.60x = 629.40 × 421.04
  4. Step 4: Simplify right side
    455.60x = 265,002.58
  5. Step 5: Solve for x
    x = 265,002.58/455.60
  6. Step 6: Final answer
    x = 581.66

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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.