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Finding the Fourth Proportional to 526.37, 726.62 and 349.43

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Solution

The fourth proportional to 526.37, 726.62 and 349.43 is: 482.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.37 : 726.62 = 349.43 : x
  2. Step 2: Convert to fraction form
    526.37/726.62 = 349.43/x
  3. Step 3: Cross multiply
    526.37x = 726.62 × 349.43
  4. Step 4: Simplify right side
    526.37x = 253,897.45
  5. Step 5: Solve for x
    x = 253,897.45/526.37
  6. Step 6: Final answer
    x = 482.36

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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.