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Finding the Fourth Proportional to 524.40, 722.42 and 366.74

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Solution

The fourth proportional to 524.40, 722.42 and 366.74 is: 505.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.40 : 722.42 = 366.74 : x
  2. Step 2: Convert to fraction form
    524.40/722.42 = 366.74/x
  3. Step 3: Cross multiply
    524.40x = 722.42 × 366.74
  4. Step 4: Simplify right side
    524.40x = 264,939.42
  5. Step 5: Solve for x
    x = 264,939.42/524.40
  6. Step 6: Final answer
    x = 505.22

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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.