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Finding the Fourth Proportional to 521.53, 782.28 and 304.93

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Solution

The fourth proportional to 521.53, 782.28 and 304.93 is: 457.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.53 : 782.28 = 304.93 : x
  2. Step 2: Convert to fraction form
    521.53/782.28 = 304.93/x
  3. Step 3: Cross multiply
    521.53x = 782.28 × 304.93
  4. Step 4: Simplify right side
    521.53x = 238,540.64
  5. Step 5: Solve for x
    x = 238,540.64/521.53
  6. Step 6: Final answer
    x = 457.39

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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.