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Finding the Fourth Proportional to 454.05, 684.39 and 373.86

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Solution

The fourth proportional to 454.05, 684.39 and 373.86 is: 563.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.05 : 684.39 = 373.86 : x
  2. Step 2: Convert to fraction form
    454.05/684.39 = 373.86/x
  3. Step 3: Cross multiply
    454.05x = 684.39 × 373.86
  4. Step 4: Simplify right side
    454.05x = 255,866.05
  5. Step 5: Solve for x
    x = 255,866.05/454.05
  6. Step 6: Final answer
    x = 563.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.