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Finding the Fourth Proportional to 534.02, 737.01 and 368.33

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Solution

The fourth proportional to 534.02, 737.01 and 368.33 is: 508.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.02 : 737.01 = 368.33 : x
  2. Step 2: Convert to fraction form
    534.02/737.01 = 368.33/x
  3. Step 3: Cross multiply
    534.02x = 737.01 × 368.33
  4. Step 4: Simplify right side
    534.02x = 271,459.21
  5. Step 5: Solve for x
    x = 271,459.21/534.02
  6. Step 6: Final answer
    x = 508.34

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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.