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Finding the Fourth Proportional to 534.44, 740.92 and 506.68

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Solution

The fourth proportional to 534.44, 740.92 and 506.68 is: 702.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.44 : 740.92 = 506.68 : x
  2. Step 2: Convert to fraction form
    534.44/740.92 = 506.68/x
  3. Step 3: Cross multiply
    534.44x = 740.92 × 506.68
  4. Step 4: Simplify right side
    534.44x = 375,409.35
  5. Step 5: Solve for x
    x = 375,409.35/534.44
  6. Step 6: Final answer
    x = 702.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.