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Finding the Fourth Proportional to 520.50, 717.80 and 343.32

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Solution

The fourth proportional to 520.50, 717.80 and 343.32 is: 473.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.50 : 717.80 = 343.32 : x
  2. Step 2: Convert to fraction form
    520.50/717.80 = 343.32/x
  3. Step 3: Cross multiply
    520.50x = 717.80 × 343.32
  4. Step 4: Simplify right side
    520.50x = 246,430.69
  5. Step 5: Solve for x
    x = 246,430.69/520.50
  6. Step 6: Final answer
    x = 473.45

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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.