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Finding the Fourth Proportional to 532.96, 795.77 and 451.84

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Solution

The fourth proportional to 532.96, 795.77 and 451.84 is: 674.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.96 : 795.77 = 451.84 : x
  2. Step 2: Convert to fraction form
    532.96/795.77 = 451.84/x
  3. Step 3: Cross multiply
    532.96x = 795.77 × 451.84
  4. Step 4: Simplify right side
    532.96x = 359,560.72
  5. Step 5: Solve for x
    x = 359,560.72/532.96
  6. Step 6: Final answer
    x = 674.65

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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.