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Finding the Fourth Proportional to 534.13, 737.12 and 313.06

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Solution

The fourth proportional to 534.13, 737.12 and 313.06 is: 432.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.13 : 737.12 = 313.06 : x
  2. Step 2: Convert to fraction form
    534.13/737.12 = 313.06/x
  3. Step 3: Cross multiply
    534.13x = 737.12 × 313.06
  4. Step 4: Simplify right side
    534.13x = 230,762.79
  5. Step 5: Solve for x
    x = 230,762.79/534.13
  6. Step 6: Final answer
    x = 432.03

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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.