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Finding the Fourth Proportional to 526.86, 727.16 and 349.82

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Solution

The fourth proportional to 526.86, 727.16 and 349.82 is: 482.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.86 : 727.16 = 349.82 : x
  2. Step 2: Convert to fraction form
    526.86/727.16 = 349.82/x
  3. Step 3: Cross multiply
    526.86x = 727.16 × 349.82
  4. Step 4: Simplify right side
    526.86x = 254,377.80
  5. Step 5: Solve for x
    x = 254,377.80/526.86
  6. Step 6: Final answer
    x = 482.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.