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Finding the Fourth Proportional to 521.10, 719.10 and 300.02

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Solution

The fourth proportional to 521.10, 719.10 and 300.02 is: 414.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.10 : 719.10 = 300.02 : x
  2. Step 2: Convert to fraction form
    521.10/719.10 = 300.02/x
  3. Step 3: Cross multiply
    521.10x = 719.10 × 300.02
  4. Step 4: Simplify right side
    521.10x = 215,740.79
  5. Step 5: Solve for x
    x = 215,740.79/521.10
  6. Step 6: Final answer
    x = 414.01

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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.