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Finding the Fourth Proportional to 614.93, 848.87 and 405.21

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Solution

The fourth proportional to 614.93, 848.87 and 405.21 is: 559.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.93 : 848.87 = 405.21 : x
  2. Step 2: Convert to fraction form
    614.93/848.87 = 405.21/x
  3. Step 3: Cross multiply
    614.93x = 848.87 × 405.21
  4. Step 4: Simplify right side
    614.93x = 343,968.59
  5. Step 5: Solve for x
    x = 343,968.59/614.93
  6. Step 6: Final answer
    x = 559.37

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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.