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Finding the Fourth Proportional to 529.40, 794.15 and 310.36

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Solution

The fourth proportional to 529.40, 794.15 and 310.36 is: 465.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.40 : 794.15 = 310.36 : x
  2. Step 2: Convert to fraction form
    529.40/794.15 = 310.36/x
  3. Step 3: Cross multiply
    529.40x = 794.15 × 310.36
  4. Step 4: Simplify right side
    529.40x = 246,466.87
  5. Step 5: Solve for x
    x = 246,466.87/529.40
  6. Step 6: Final answer
    x = 465.56

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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.