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Finding the Fourth Proportional to 484.74, 723.92 and 368.46

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Solution

The fourth proportional to 484.74, 723.92 and 368.46 is: 550.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.74 : 723.92 = 368.46 : x
  2. Step 2: Convert to fraction form
    484.74/723.92 = 368.46/x
  3. Step 3: Cross multiply
    484.74x = 723.92 × 368.46
  4. Step 4: Simplify right side
    484.74x = 266,733.72
  5. Step 5: Solve for x
    x = 266,733.72/484.74
  6. Step 6: Final answer
    x = 550.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.