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Finding the Fourth Proportional to 541, 807 and 532.08

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Solution

The fourth proportional to 541, 807 and 532.08 is: 793.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    541 : 807 = 532.08 : x
  2. Step 2: Convert to fraction form
    541/807 = 532.08/x
  3. Step 3: Cross multiply
    541x = 807 × 532.08
  4. Step 4: Simplify right side
    541x = 429,388.56
  5. Step 5: Solve for x
    x = 429,388.56/541
  6. Step 6: Final answer
    x = 793.69

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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.