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Finding the Fourth Proportional to 522.24, 720.48 and 314.88

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Solution

The fourth proportional to 522.24, 720.48 and 314.88 is: 434.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.24 : 720.48 = 314.88 : x
  2. Step 2: Convert to fraction form
    522.24/720.48 = 314.88/x
  3. Step 3: Cross multiply
    522.24x = 720.48 × 314.88
  4. Step 4: Simplify right side
    522.24x = 226,864.74
  5. Step 5: Solve for x
    x = 226,864.74/522.24
  6. Step 6: Final answer
    x = 434.41

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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.