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Finding the Fourth Proportional to 522.99, 721.56 and 313.20

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Solution

The fourth proportional to 522.99, 721.56 and 313.20 is: 432.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.99 : 721.56 = 313.20 : x
  2. Step 2: Convert to fraction form
    522.99/721.56 = 313.20/x
  3. Step 3: Cross multiply
    522.99x = 721.56 × 313.20
  4. Step 4: Simplify right side
    522.99x = 225,992.00
  5. Step 5: Solve for x
    x = 225,992.00/522.99
  6. Step 6: Final answer
    x = 432.12

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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.