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Finding the Fourth Proportional to 524.64, 723.78 and 350.04

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Solution

The fourth proportional to 524.64, 723.78 and 350.04 is: 482.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.64 : 723.78 = 350.04 : x
  2. Step 2: Convert to fraction form
    524.64/723.78 = 350.04/x
  3. Step 3: Cross multiply
    524.64x = 723.78 × 350.04
  4. Step 4: Simplify right side
    524.64x = 253,351.95
  5. Step 5: Solve for x
    x = 253,351.95/524.64
  6. Step 6: Final answer
    x = 482.91

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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.