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Finding the Fourth Proportional to 534.16, 737.16 and 337.60

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Solution

The fourth proportional to 534.16, 737.16 and 337.60 is: 465.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.16 : 737.16 = 337.60 : x
  2. Step 2: Convert to fraction form
    534.16/737.16 = 337.60/x
  3. Step 3: Cross multiply
    534.16x = 737.16 × 337.60
  4. Step 4: Simplify right side
    534.16x = 248,865.22
  5. Step 5: Solve for x
    x = 248,865.22/534.16
  6. Step 6: Final answer
    x = 465.90

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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.