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Finding the Fourth Proportional to 521.71, 782.67 and 305.23

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Solution

The fourth proportional to 521.71, 782.67 and 305.23 is: 457.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.71 : 782.67 = 305.23 : x
  2. Step 2: Convert to fraction form
    521.71/782.67 = 305.23/x
  3. Step 3: Cross multiply
    521.71x = 782.67 × 305.23
  4. Step 4: Simplify right side
    521.71x = 238,894.36
  5. Step 5: Solve for x
    x = 238,894.36/521.71
  6. Step 6: Final answer
    x = 457.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.