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Finding the Fourth Proportional to 521.24, 777.77 and 466.76

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Solution

The fourth proportional to 521.24, 777.77 and 466.76 is: 696.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.24 : 777.77 = 466.76 : x
  2. Step 2: Convert to fraction form
    521.24/777.77 = 466.76/x
  3. Step 3: Cross multiply
    521.24x = 777.77 × 466.76
  4. Step 4: Simplify right side
    521.24x = 363,031.93
  5. Step 5: Solve for x
    x = 363,031.93/521.24
  6. Step 6: Final answer
    x = 696.48

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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.