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Finding the Fourth Proportional to 520.74, 718.53 and 299.64

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Solution

The fourth proportional to 520.74, 718.53 and 299.64 is: 413.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.74 : 718.53 = 299.64 : x
  2. Step 2: Convert to fraction form
    520.74/718.53 = 299.64/x
  3. Step 3: Cross multiply
    520.74x = 718.53 × 299.64
  4. Step 4: Simplify right side
    520.74x = 215,300.33
  5. Step 5: Solve for x
    x = 215,300.33/520.74
  6. Step 6: Final answer
    x = 413.45

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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.