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Finding the Fourth Proportional to 524.12, 723.31 and 300.11

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Solution

The fourth proportional to 524.12, 723.31 and 300.11 is: 414.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.12 : 723.31 = 300.11 : x
  2. Step 2: Convert to fraction form
    524.12/723.31 = 300.11/x
  3. Step 3: Cross multiply
    524.12x = 723.31 × 300.11
  4. Step 4: Simplify right side
    524.12x = 217,068.20
  5. Step 5: Solve for x
    x = 217,068.20/524.12
  6. Step 6: Final answer
    x = 414.16

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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.