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Finding the Fourth Proportional to 614.91, 848.67 and 366.24

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Solution

The fourth proportional to 614.91, 848.67 and 366.24 is: 505.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.91 : 848.67 = 366.24 : x
  2. Step 2: Convert to fraction form
    614.91/848.67 = 366.24/x
  3. Step 3: Cross multiply
    614.91x = 848.67 × 366.24
  4. Step 4: Simplify right side
    614.91x = 310,816.90
  5. Step 5: Solve for x
    x = 310,816.90/614.91
  6. Step 6: Final answer
    x = 505.47

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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.