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Finding the Fourth Proportional to 532.56, 795.09 and 450.54

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Solution

The fourth proportional to 532.56, 795.09 and 450.54 is: 672.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.56 : 795.09 = 450.54 : x
  2. Step 2: Convert to fraction form
    532.56/795.09 = 450.54/x
  3. Step 3: Cross multiply
    532.56x = 795.09 × 450.54
  4. Step 4: Simplify right side
    532.56x = 358,219.85
  5. Step 5: Solve for x
    x = 358,219.85/532.56
  6. Step 6: Final answer
    x = 672.64

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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.