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Finding the Fourth Proportional to 526.50, 725.56 and 378.88

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Solution

The fourth proportional to 526.50, 725.56 and 378.88 is: 522.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.50 : 725.56 = 378.88 : x
  2. Step 2: Convert to fraction form
    526.50/725.56 = 378.88/x
  3. Step 3: Cross multiply
    526.50x = 725.56 × 378.88
  4. Step 4: Simplify right side
    526.50x = 274,897.41
  5. Step 5: Solve for x
    x = 274,897.41/526.50
  6. Step 6: Final answer
    x = 522.12

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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.