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Finding the Fourth Proportional to 534.68, 737.85 and 295.41

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Solution

The fourth proportional to 534.68, 737.85 and 295.41 is: 407.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.68 : 737.85 = 295.41 : x
  2. Step 2: Convert to fraction form
    534.68/737.85 = 295.41/x
  3. Step 3: Cross multiply
    534.68x = 737.85 × 295.41
  4. Step 4: Simplify right side
    534.68x = 217,968.27
  5. Step 5: Solve for x
    x = 217,968.27/534.68
  6. Step 6: Final answer
    x = 407.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.