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Finding the Fourth Proportional to 582.33, 873.50 and 257.69

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Solution

The fourth proportional to 582.33, 873.50 and 257.69 is: 386.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.33 : 873.50 = 257.69 : x
  2. Step 2: Convert to fraction form
    582.33/873.50 = 257.69/x
  3. Step 3: Cross multiply
    582.33x = 873.50 × 257.69
  4. Step 4: Simplify right side
    582.33x = 225,093.11
  5. Step 5: Solve for x
    x = 225,093.11/582.33
  6. Step 6: Final answer
    x = 386.54

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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.