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Finding the Fourth Proportional to 701.64, 967.65 and 421.77

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Solution

The fourth proportional to 701.64, 967.65 and 421.77 is: 581.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.64 : 967.65 = 421.77 : x
  2. Step 2: Convert to fraction form
    701.64/967.65 = 421.77/x
  3. Step 3: Cross multiply
    701.64x = 967.65 × 421.77
  4. Step 4: Simplify right side
    701.64x = 408,125.74
  5. Step 5: Solve for x
    x = 408,125.74/701.64
  6. Step 6: Final answer
    x = 581.67

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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.