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Finding the Fourth Proportional to 614.84, 848.42 and 349.32

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Solution

The fourth proportional to 614.84, 848.42 and 349.32 is: 482.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.84 : 848.42 = 349.32 : x
  2. Step 2: Convert to fraction form
    614.84/848.42 = 349.32/x
  3. Step 3: Cross multiply
    614.84x = 848.42 × 349.32
  4. Step 4: Simplify right side
    614.84x = 296,368.33
  5. Step 5: Solve for x
    x = 296,368.33/614.84
  6. Step 6: Final answer
    x = 482.03

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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.