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Finding the Fourth Proportional to 569.50, 858.73 and 462.58

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Solution

The fourth proportional to 569.50, 858.73 and 462.58 is: 697.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.50 : 858.73 = 462.58 : x
  2. Step 2: Convert to fraction form
    569.50/858.73 = 462.58/x
  3. Step 3: Cross multiply
    569.50x = 858.73 × 462.58
  4. Step 4: Simplify right side
    569.50x = 397,231.32
  5. Step 5: Solve for x
    x = 397,231.32/569.50
  6. Step 6: Final answer
    x = 697.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.