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Finding the Fourth Proportional to 521.61, 717.99 and 456

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Solution

The fourth proportional to 521.61, 717.99 and 456 is: 627.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.61 : 717.99 = 456 : x
  2. Step 2: Convert to fraction form
    521.61/717.99 = 456/x
  3. Step 3: Cross multiply
    521.61x = 717.99 × 456
  4. Step 4: Simplify right side
    521.61x = 327,403.44
  5. Step 5: Solve for x
    x = 327,403.44/521.61
  6. Step 6: Final answer
    x = 627.68

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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.