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Finding the Fourth Proportional to 582.81, 874.01 and 258

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Solution

The fourth proportional to 582.81, 874.01 and 258 is: 386.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.81 : 874.01 = 258 : x
  2. Step 2: Convert to fraction form
    582.81/874.01 = 258/x
  3. Step 3: Cross multiply
    582.81x = 874.01 × 258
  4. Step 4: Simplify right side
    582.81x = 225,493.29
  5. Step 5: Solve for x
    x = 225,493.29/582.81
  6. Step 6: Final answer
    x = 386.91

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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.