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Finding the Fourth Proportional to 614.84, 848.49 and 366.35

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Solution

The fourth proportional to 614.84, 848.49 and 366.35 is: 505.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.84 : 848.49 = 366.35 : x
  2. Step 2: Convert to fraction form
    614.84/848.49 = 366.35/x
  3. Step 3: Cross multiply
    614.84x = 848.49 × 366.35
  4. Step 4: Simplify right side
    614.84x = 310,844.31
  5. Step 5: Solve for x
    x = 310,844.31/614.84
  6. Step 6: Final answer
    x = 505.57

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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.