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Finding the Fourth Proportional to 532.84, 795.45 and 450.79

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Solution

The fourth proportional to 532.84, 795.45 and 450.79 is: 672.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.84 : 795.45 = 450.79 : x
  2. Step 2: Convert to fraction form
    532.84/795.45 = 450.79/x
  3. Step 3: Cross multiply
    532.84x = 795.45 × 450.79
  4. Step 4: Simplify right side
    532.84x = 358,580.91
  5. Step 5: Solve for x
    x = 358,580.91/532.84
  6. Step 6: Final answer
    x = 672.96

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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.