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Finding the Fourth Proportional to 1,542.70, 2,314.04 and 388.45

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Solution

The fourth proportional to 1,542.70, 2,314.04 and 388.45 is: 582.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.70 : 2,314.04 = 388.45 : x
  2. Step 2: Convert to fraction form
    1,542.70/2,314.04 = 388.45/x
  3. Step 3: Cross multiply
    1,542.70x = 2,314.04 × 388.45
  4. Step 4: Simplify right side
    1,542.70x = 898,875.33
  5. Step 5: Solve for x
    x = 898,875.33/1,542.70
  6. Step 6: Final answer
    x = 582.67

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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.