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Finding the Fourth Proportional to 614.49, 848.32 and 415.46

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Solution

The fourth proportional to 614.49, 848.32 and 415.46 is: 573.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.49 : 848.32 = 415.46 : x
  2. Step 2: Convert to fraction form
    614.49/848.32 = 415.46/x
  3. Step 3: Cross multiply
    614.49x = 848.32 × 415.46
  4. Step 4: Simplify right side
    614.49x = 352,446.45
  5. Step 5: Solve for x
    x = 352,446.45/614.49
  6. Step 6: Final answer
    x = 573.56

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