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Finding the Fourth Proportional to 524.29, 723.59 and 328

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Solution

The fourth proportional to 524.29, 723.59 and 328 is: 452.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.29 : 723.59 = 328 : x
  2. Step 2: Convert to fraction form
    524.29/723.59 = 328/x
  3. Step 3: Cross multiply
    524.29x = 723.59 × 328
  4. Step 4: Simplify right side
    524.29x = 237,337.52
  5. Step 5: Solve for x
    x = 237,337.52/524.29
  6. Step 6: Final answer
    x = 452.68

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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.