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Finding the Fourth Proportional to 519.24, 716.40 and 431.76

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Solution

The fourth proportional to 519.24, 716.40 and 431.76 is: 595.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.24 : 716.40 = 431.76 : x
  2. Step 2: Convert to fraction form
    519.24/716.40 = 431.76/x
  3. Step 3: Cross multiply
    519.24x = 716.40 × 431.76
  4. Step 4: Simplify right side
    519.24x = 309,312.86
  5. Step 5: Solve for x
    x = 309,312.86/519.24
  6. Step 6: Final answer
    x = 595.70

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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.