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Finding the Fourth Proportional to 534.14, 737.64 and 368.78

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Solution

The fourth proportional to 534.14, 737.64 and 368.78 is: 509.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.14 : 737.64 = 368.78 : x
  2. Step 2: Convert to fraction form
    534.14/737.64 = 368.78/x
  3. Step 3: Cross multiply
    534.14x = 737.64 × 368.78
  4. Step 4: Simplify right side
    534.14x = 272,026.88
  5. Step 5: Solve for x
    x = 272,026.88/534.14
  6. Step 6: Final answer
    x = 509.28

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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.