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Finding the Fourth Proportional to 524.91, 723.90 and 358.80

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Solution

The fourth proportional to 524.91, 723.90 and 358.80 is: 494.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.91 : 723.90 = 358.80 : x
  2. Step 2: Convert to fraction form
    524.91/723.90 = 358.80/x
  3. Step 3: Cross multiply
    524.91x = 723.90 × 358.80
  4. Step 4: Simplify right side
    524.91x = 259,735.32
  5. Step 5: Solve for x
    x = 259,735.32/524.91
  6. Step 6: Final answer
    x = 494.82

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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.