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Finding the Fourth Proportional to 529.13, 794.00 and 346.28

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Solution

The fourth proportional to 529.13, 794.00 and 346.28 is: 519.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.13 : 794.00 = 346.28 : x
  2. Step 2: Convert to fraction form
    529.13/794.00 = 346.28/x
  3. Step 3: Cross multiply
    529.13x = 794.00 × 346.28
  4. Step 4: Simplify right side
    529.13x = 274,943.22
  5. Step 5: Solve for x
    x = 274,943.22/529.13
  6. Step 6: Final answer
    x = 519.61

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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.