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Finding the Fourth Proportional to 519.78, 715.32 and 484.14

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Solution

The fourth proportional to 519.78, 715.32 and 484.14 is: 666.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.78 : 715.32 = 484.14 : x
  2. Step 2: Convert to fraction form
    519.78/715.32 = 484.14/x
  3. Step 3: Cross multiply
    519.78x = 715.32 × 484.14
  4. Step 4: Simplify right side
    519.78x = 346,315.02
  5. Step 5: Solve for x
    x = 346,315.02/519.78
  6. Step 6: Final answer
    x = 666.27

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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.