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Finding the Fourth Proportional to 519.68, 715.32 and 414.56

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Solution

The fourth proportional to 519.68, 715.32 and 414.56 is: 570.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.68 : 715.32 = 414.56 : x
  2. Step 2: Convert to fraction form
    519.68/715.32 = 414.56/x
  3. Step 3: Cross multiply
    519.68x = 715.32 × 414.56
  4. Step 4: Simplify right side
    519.68x = 296,543.06
  5. Step 5: Solve for x
    x = 296,543.06/519.68
  6. Step 6: Final answer
    x = 570.63

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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.