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Finding the Fourth Proportional to 523.61, 722.26 and 346.57

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Solution

The fourth proportional to 523.61, 722.26 and 346.57 is: 478.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.61 : 722.26 = 346.57 : x
  2. Step 2: Convert to fraction form
    523.61/722.26 = 346.57/x
  3. Step 3: Cross multiply
    523.61x = 722.26 × 346.57
  4. Step 4: Simplify right side
    523.61x = 250,313.65
  5. Step 5: Solve for x
    x = 250,313.65/523.61
  6. Step 6: Final answer
    x = 478.05

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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.