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Finding the Fourth Proportional to 520.61, 718.49 and 296.59

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Solution

The fourth proportional to 520.61, 718.49 and 296.59 is: 409.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.61 : 718.49 = 296.59 : x
  2. Step 2: Convert to fraction form
    520.61/718.49 = 296.59/x
  3. Step 3: Cross multiply
    520.61x = 718.49 × 296.59
  4. Step 4: Simplify right side
    520.61x = 213,091.87
  5. Step 5: Solve for x
    x = 213,091.87/520.61
  6. Step 6: Final answer
    x = 409.32

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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.