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Finding the Fourth Proportional to 661.89, 913.41 and 429.42

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Solution

The fourth proportional to 661.89, 913.41 and 429.42 is: 592.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.89 : 913.41 = 429.42 : x
  2. Step 2: Convert to fraction form
    661.89/913.41 = 429.42/x
  3. Step 3: Cross multiply
    661.89x = 913.41 × 429.42
  4. Step 4: Simplify right side
    661.89x = 392,236.52
  5. Step 5: Solve for x
    x = 392,236.52/661.89
  6. Step 6: Final answer
    x = 592.60

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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.