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Finding the Fourth Proportional to 614.97, 848.75 and 405.12

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Solution

The fourth proportional to 614.97, 848.75 and 405.12 is: 559.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.97 : 848.75 = 405.12 : x
  2. Step 2: Convert to fraction form
    614.97/848.75 = 405.12/x
  3. Step 3: Cross multiply
    614.97x = 848.75 × 405.12
  4. Step 4: Simplify right side
    614.97x = 343,842.37
  5. Step 5: Solve for x
    x = 343,842.37/614.97
  6. Step 6: Final answer
    x = 559.12

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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.