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Finding the Fourth Proportional to 526.43, 726.80 and 349.54

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Solution

The fourth proportional to 526.43, 726.80 and 349.54 is: 482.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.43 : 726.80 = 349.54 : x
  2. Step 2: Convert to fraction form
    526.43/726.80 = 349.54/x
  3. Step 3: Cross multiply
    526.43x = 726.80 × 349.54
  4. Step 4: Simplify right side
    526.43x = 254,045.67
  5. Step 5: Solve for x
    x = 254,045.67/526.43
  6. Step 6: Final answer
    x = 482.58

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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.