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Finding the Fourth Proportional to 517, 714.06 and 377.74

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Solution

The fourth proportional to 517, 714.06 and 377.74 is: 521.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    517 : 714.06 = 377.74 : x
  2. Step 2: Convert to fraction form
    517/714.06 = 377.74/x
  3. Step 3: Cross multiply
    517x = 714.06 × 377.74
  4. Step 4: Simplify right side
    517x = 269,729.02
  5. Step 5: Solve for x
    x = 269,729.02/517
  6. Step 6: Final answer
    x = 521.72

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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.