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Finding the Fourth Proportional to 521.46, 719.69 and 297.47

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Solution

The fourth proportional to 521.46, 719.69 and 297.47 is: 410.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.46 : 719.69 = 297.47 : x
  2. Step 2: Convert to fraction form
    521.46/719.69 = 297.47/x
  3. Step 3: Cross multiply
    521.46x = 719.69 × 297.47
  4. Step 4: Simplify right side
    521.46x = 214,086.50
  5. Step 5: Solve for x
    x = 214,086.50/521.46
  6. Step 6: Final answer
    x = 410.55

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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.