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Finding the Fourth Proportional to 517.52, 776.46 and 312.23

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Solution

The fourth proportional to 517.52, 776.46 and 312.23 is: 468.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.52 : 776.46 = 312.23 : x
  2. Step 2: Convert to fraction form
    517.52/776.46 = 312.23/x
  3. Step 3: Cross multiply
    517.52x = 776.46 × 312.23
  4. Step 4: Simplify right side
    517.52x = 242,430.22
  5. Step 5: Solve for x
    x = 242,430.22/517.52
  6. Step 6: Final answer
    x = 468.45

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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.