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Finding the Fourth Proportional to 534.04, 737.02 and 301.12

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Solution

The fourth proportional to 534.04, 737.02 and 301.12 is: 415.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.04 : 737.02 = 301.12 : x
  2. Step 2: Convert to fraction form
    534.04/737.02 = 301.12/x
  3. Step 3: Cross multiply
    534.04x = 737.02 × 301.12
  4. Step 4: Simplify right side
    534.04x = 221,931.46
  5. Step 5: Solve for x
    x = 221,931.46/534.04
  6. Step 6: Final answer
    x = 415.57

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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.