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Finding the Fourth Proportional to 532.03, 797.65 and 271.82

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Solution

The fourth proportional to 532.03, 797.65 and 271.82 is: 407.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.03 : 797.65 = 271.82 : x
  2. Step 2: Convert to fraction form
    532.03/797.65 = 271.82/x
  3. Step 3: Cross multiply
    532.03x = 797.65 × 271.82
  4. Step 4: Simplify right side
    532.03x = 216,817.22
  5. Step 5: Solve for x
    x = 216,817.22/532.03
  6. Step 6: Final answer
    x = 407.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.