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Finding the Fourth Proportional to 522.14, 720.51 and 301.10

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Solution

The fourth proportional to 522.14, 720.51 and 301.10 is: 415.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.14 : 720.51 = 301.10 : x
  2. Step 2: Convert to fraction form
    522.14/720.51 = 301.10/x
  3. Step 3: Cross multiply
    522.14x = 720.51 × 301.10
  4. Step 4: Simplify right side
    522.14x = 216,941.96
  5. Step 5: Solve for x
    x = 216,941.96/522.14
  6. Step 6: Final answer
    x = 415.49

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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.