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Finding the Fourth Proportional to 524.75, 724.16 and 328.01

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Solution

The fourth proportional to 524.75, 724.16 and 328.01 is: 452.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.75 : 724.16 = 328.01 : x
  2. Step 2: Convert to fraction form
    524.75/724.16 = 328.01/x
  3. Step 3: Cross multiply
    524.75x = 724.16 × 328.01
  4. Step 4: Simplify right side
    524.75x = 237,530.08
  5. Step 5: Solve for x
    x = 237,530.08/524.75
  6. Step 6: Final answer
    x = 452.65

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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.