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Finding the Fourth Proportional to 454.41, 626.54 and 360.86

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Solution

The fourth proportional to 454.41, 626.54 and 360.86 is: 497.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.41 : 626.54 = 360.86 : x
  2. Step 2: Convert to fraction form
    454.41/626.54 = 360.86/x
  3. Step 3: Cross multiply
    454.41x = 626.54 × 360.86
  4. Step 4: Simplify right side
    454.41x = 226,088.29
  5. Step 5: Solve for x
    x = 226,088.29/454.41
  6. Step 6: Final answer
    x = 497.54

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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.