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Finding the Fourth Proportional to 519.94, 775.76 and 471.34

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Solution

The fourth proportional to 519.94, 775.76 and 471.34 is: 703.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.94 : 775.76 = 471.34 : x
  2. Step 2: Convert to fraction form
    519.94/775.76 = 471.34/x
  3. Step 3: Cross multiply
    519.94x = 775.76 × 471.34
  4. Step 4: Simplify right side
    519.94x = 365,646.72
  5. Step 5: Solve for x
    x = 365,646.72/519.94
  6. Step 6: Final answer
    x = 703.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.