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Finding the Fourth Proportional to 524.23, 723.39 and 291.34

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Solution

The fourth proportional to 524.23, 723.39 and 291.34 is: 402.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.23 : 723.39 = 291.34 : x
  2. Step 2: Convert to fraction form
    524.23/723.39 = 291.34/x
  3. Step 3: Cross multiply
    524.23x = 723.39 × 291.34
  4. Step 4: Simplify right side
    524.23x = 210,752.44
  5. Step 5: Solve for x
    x = 210,752.44/524.23
  6. Step 6: Final answer
    x = 402.02

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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.