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Finding the Fourth Proportional to 614.34, 848.06 and 365.74

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Solution

The fourth proportional to 614.34, 848.06 and 365.74 is: 504.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.34 : 848.06 = 365.74 : x
  2. Step 2: Convert to fraction form
    614.34/848.06 = 365.74/x
  3. Step 3: Cross multiply
    614.34x = 848.06 × 365.74
  4. Step 4: Simplify right side
    614.34x = 310,169.46
  5. Step 5: Solve for x
    x = 310,169.46/614.34
  6. Step 6: Final answer
    x = 504.88

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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.