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Finding the Fourth Proportional to 614.69, 848.32 and 378.79

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Solution

The fourth proportional to 614.69, 848.32 and 378.79 is: 522.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.69 : 848.32 = 378.79 : x
  2. Step 2: Convert to fraction form
    614.69/848.32 = 378.79/x
  3. Step 3: Cross multiply
    614.69x = 848.32 × 378.79
  4. Step 4: Simplify right side
    614.69x = 321,332.07
  5. Step 5: Solve for x
    x = 321,332.07/614.69
  6. Step 6: Final answer
    x = 522.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.