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Finding the Fourth Proportional to 582.37, 873.40 and 257.66

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Solution

The fourth proportional to 582.37, 873.40 and 257.66 is: 386.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.37 : 873.40 = 257.66 : x
  2. Step 2: Convert to fraction form
    582.37/873.40 = 257.66/x
  3. Step 3: Cross multiply
    582.37x = 873.40 × 257.66
  4. Step 4: Simplify right side
    582.37x = 225,040.24
  5. Step 5: Solve for x
    x = 225,040.24/582.37
  6. Step 6: Final answer
    x = 386.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.