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Finding the Fourth Proportional to 451.52, 621.60 and 403.84

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Solution

The fourth proportional to 451.52, 621.60 and 403.84 is: 555.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.52 : 621.60 = 403.84 : x
  2. Step 2: Convert to fraction form
    451.52/621.60 = 403.84/x
  3. Step 3: Cross multiply
    451.52x = 621.60 × 403.84
  4. Step 4: Simplify right side
    451.52x = 251,026.94
  5. Step 5: Solve for x
    x = 251,026.94/451.52
  6. Step 6: Final answer
    x = 555.96

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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.