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Finding the Fourth Proportional to 505.46, 697.18 and 412.21

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Solution

The fourth proportional to 505.46, 697.18 and 412.21 is: 568.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.46 : 697.18 = 412.21 : x
  2. Step 2: Convert to fraction form
    505.46/697.18 = 412.21/x
  3. Step 3: Cross multiply
    505.46x = 697.18 × 412.21
  4. Step 4: Simplify right side
    505.46x = 287,384.57
  5. Step 5: Solve for x
    x = 287,384.57/505.46
  6. Step 6: Final answer
    x = 568.56

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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.