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Finding the Fourth Proportional to 535.82, 797.45 and 532.58

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Solution

The fourth proportional to 535.82, 797.45 and 532.58 is: 792.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.82 : 797.45 = 532.58 : x
  2. Step 2: Convert to fraction form
    535.82/797.45 = 532.58/x
  3. Step 3: Cross multiply
    535.82x = 797.45 × 532.58
  4. Step 4: Simplify right side
    535.82x = 424,699.27
  5. Step 5: Solve for x
    x = 424,699.27/535.82
  6. Step 6: Final answer
    x = 792.62

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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.