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Finding the Fourth Proportional to 523.64, 722.54 and 358.25

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Solution

The fourth proportional to 523.64, 722.54 and 358.25 is: 494.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.64 : 722.54 = 358.25 : x
  2. Step 2: Convert to fraction form
    523.64/722.54 = 358.25/x
  3. Step 3: Cross multiply
    523.64x = 722.54 × 358.25
  4. Step 4: Simplify right side
    523.64x = 258,847.24
  5. Step 5: Solve for x
    x = 258,847.24/523.64
  6. Step 6: Final answer
    x = 494.32

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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.