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Finding the Fourth Proportional to 421.63, 582.95 and 415.42

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Solution

The fourth proportional to 421.63, 582.95 and 415.42 is: 574.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.63 : 582.95 = 415.42 : x
  2. Step 2: Convert to fraction form
    421.63/582.95 = 415.42/x
  3. Step 3: Cross multiply
    421.63x = 582.95 × 415.42
  4. Step 4: Simplify right side
    421.63x = 242,168.67
  5. Step 5: Solve for x
    x = 242,168.67/421.63
  6. Step 6: Final answer
    x = 574.37

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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.