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Finding the Fourth Proportional to 522.60, 720.78 and 335.88

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Solution

The fourth proportional to 522.60, 720.78 and 335.88 is: 463.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.60 : 720.78 = 335.88 : x
  2. Step 2: Convert to fraction form
    522.60/720.78 = 335.88/x
  3. Step 3: Cross multiply
    522.60x = 720.78 × 335.88
  4. Step 4: Simplify right side
    522.60x = 242,095.59
  5. Step 5: Solve for x
    x = 242,095.59/522.60
  6. Step 6: Final answer
    x = 463.25

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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.