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Finding the Fourth Proportional to 519, 776.64 and 312.84

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Solution

The fourth proportional to 519, 776.64 and 312.84 is: 468.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    519 : 776.64 = 312.84 : x
  2. Step 2: Convert to fraction form
    519/776.64 = 312.84/x
  3. Step 3: Cross multiply
    519x = 776.64 × 312.84
  4. Step 4: Simplify right side
    519x = 242,964.06
  5. Step 5: Solve for x
    x = 242,964.06/519
  6. Step 6: Final answer
    x = 468.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.