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Finding the Fourth Proportional to 518.83, 715.64 and 408.11

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Solution

The fourth proportional to 518.83, 715.64 and 408.11 is: 562.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.83 : 715.64 = 408.11 : x
  2. Step 2: Convert to fraction form
    518.83/715.64 = 408.11/x
  3. Step 3: Cross multiply
    518.83x = 715.64 × 408.11
  4. Step 4: Simplify right side
    518.83x = 292,060.26
  5. Step 5: Solve for x
    x = 292,060.26/518.83
  6. Step 6: Final answer
    x = 562.92

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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.