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Finding the Fourth Proportional to 529.71, 794.49 and 356.46

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Solution

The fourth proportional to 529.71, 794.49 and 356.46 is: 534.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.71 : 794.49 = 356.46 : x
  2. Step 2: Convert to fraction form
    529.71/794.49 = 356.46/x
  3. Step 3: Cross multiply
    529.71x = 794.49 × 356.46
  4. Step 4: Simplify right side
    529.71x = 283,203.91
  5. Step 5: Solve for x
    x = 283,203.91/529.71
  6. Step 6: Final answer
    x = 534.64

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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.