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Finding the Fourth Proportional to 534.83, 737.57 and 338.00

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Solution

The fourth proportional to 534.83, 737.57 and 338.00 is: 466.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.83 : 737.57 = 338.00 : x
  2. Step 2: Convert to fraction form
    534.83/737.57 = 338.00/x
  3. Step 3: Cross multiply
    534.83x = 737.57 × 338.00
  4. Step 4: Simplify right side
    534.83x = 249,295.82
  5. Step 5: Solve for x
    x = 249,295.82/534.83
  6. Step 6: Final answer
    x = 466.13

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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.