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Finding the Fourth Proportional to 524.88, 725.76 and 437.40

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Solution

The fourth proportional to 524.88, 725.76 and 437.40 is: 604.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.88 : 725.76 = 437.40 : x
  2. Step 2: Convert to fraction form
    524.88/725.76 = 437.40/x
  3. Step 3: Cross multiply
    524.88x = 725.76 × 437.40
  4. Step 4: Simplify right side
    524.88x = 317,447.42
  5. Step 5: Solve for x
    x = 317,447.42/524.88
  6. Step 6: Final answer
    x = 604.80

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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.