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Finding the Fourth Proportional to 421.57, 581.88 and 380.05

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Solution

The fourth proportional to 421.57, 581.88 and 380.05 is: 524.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.57 : 581.88 = 380.05 : x
  2. Step 2: Convert to fraction form
    421.57/581.88 = 380.05/x
  3. Step 3: Cross multiply
    421.57x = 581.88 × 380.05
  4. Step 4: Simplify right side
    421.57x = 221,141.59
  5. Step 5: Solve for x
    x = 221,141.59/421.57
  6. Step 6: Final answer
    x = 524.57

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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.