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Finding the Fourth Proportional to 505.88, 697.50 and 412.43

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Solution

The fourth proportional to 505.88, 697.50 and 412.43 is: 568.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.88 : 697.50 = 412.43 : x
  2. Step 2: Convert to fraction form
    505.88/697.50 = 412.43/x
  3. Step 3: Cross multiply
    505.88x = 697.50 × 412.43
  4. Step 4: Simplify right side
    505.88x = 287,666.44
  5. Step 5: Solve for x
    x = 287,666.44/505.88
  6. Step 6: Final answer
    x = 568.65

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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.