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Finding the Fourth Proportional to 669.59, 924.62 and 421.34

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Solution

The fourth proportional to 669.59, 924.62 and 421.34 is: 581.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.59 : 924.62 = 421.34 : x
  2. Step 2: Convert to fraction form
    669.59/924.62 = 421.34/x
  3. Step 3: Cross multiply
    669.59x = 924.62 × 421.34
  4. Step 4: Simplify right side
    669.59x = 389,575.03
  5. Step 5: Solve for x
    x = 389,575.03/669.59
  6. Step 6: Final answer
    x = 581.81

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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.