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Finding the Fourth Proportional to 534.51, 737.84 and 337.98

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Solution

The fourth proportional to 534.51, 737.84 and 337.98 is: 466.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.51 : 737.84 = 337.98 : x
  2. Step 2: Convert to fraction form
    534.51/737.84 = 337.98/x
  3. Step 3: Cross multiply
    534.51x = 737.84 × 337.98
  4. Step 4: Simplify right side
    534.51x = 249,378.78
  5. Step 5: Solve for x
    x = 249,378.78/534.51
  6. Step 6: Final answer
    x = 466.56

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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.