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Finding the Fourth Proportional to 534.14, 737.14 and 310.10

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Solution

The fourth proportional to 534.14, 737.14 and 310.10 is: 427.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.14 : 737.14 = 310.10 : x
  2. Step 2: Convert to fraction form
    534.14/737.14 = 310.10/x
  3. Step 3: Cross multiply
    534.14x = 737.14 × 310.10
  4. Step 4: Simplify right side
    534.14x = 228,587.11
  5. Step 5: Solve for x
    x = 228,587.11/534.14
  6. Step 6: Final answer
    x = 427.95

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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.