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Finding the Fourth Proportional to 521.61, 719.79 and 297.52

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Solution

The fourth proportional to 521.61, 719.79 and 297.52 is: 410.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.61 : 719.79 = 297.52 : x
  2. Step 2: Convert to fraction form
    521.61/719.79 = 297.52/x
  3. Step 3: Cross multiply
    521.61x = 719.79 × 297.52
  4. Step 4: Simplify right side
    521.61x = 214,151.92
  5. Step 5: Solve for x
    x = 214,151.92/521.61
  6. Step 6: Final answer
    x = 410.56

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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.