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Finding the Fourth Proportional to 421.74, 581.58 and 380.16

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Solution

The fourth proportional to 421.74, 581.58 and 380.16 is: 524.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.74 : 581.58 = 380.16 : x
  2. Step 2: Convert to fraction form
    421.74/581.58 = 380.16/x
  3. Step 3: Cross multiply
    421.74x = 581.58 × 380.16
  4. Step 4: Simplify right side
    421.74x = 221,093.45
  5. Step 5: Solve for x
    x = 221,093.45/421.74
  6. Step 6: Final answer
    x = 524.24

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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.