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Finding the Fourth Proportional to 521.06, 719.10 and 297.02

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Solution

The fourth proportional to 521.06, 719.10 and 297.02 is: 409.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.06 : 719.10 = 297.02 : x
  2. Step 2: Convert to fraction form
    521.06/719.10 = 297.02/x
  3. Step 3: Cross multiply
    521.06x = 719.10 × 297.02
  4. Step 4: Simplify right side
    521.06x = 213,583.49
  5. Step 5: Solve for x
    x = 213,583.49/521.06
  6. Step 6: Final answer
    x = 409.91

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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.