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Finding the Fourth Proportional to 522.65, 721.23 and 301.64

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Solution

The fourth proportional to 522.65, 721.23 and 301.64 is: 416.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.65 : 721.23 = 301.64 : x
  2. Step 2: Convert to fraction form
    522.65/721.23 = 301.64/x
  3. Step 3: Cross multiply
    522.65x = 721.23 × 301.64
  4. Step 4: Simplify right side
    522.65x = 217,548.21
  5. Step 5: Solve for x
    x = 217,548.21/522.65
  6. Step 6: Final answer
    x = 416.24

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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.