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Finding the Fourth Proportional to 355.24, 530.37 and 334.50

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Solution

The fourth proportional to 355.24, 530.37 and 334.50 is: 499.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.24 : 530.37 = 334.50 : x
  2. Step 2: Convert to fraction form
    355.24/530.37 = 334.50/x
  3. Step 3: Cross multiply
    355.24x = 530.37 × 334.50
  4. Step 4: Simplify right side
    355.24x = 177,410.08
  5. Step 5: Solve for x
    x = 177,410.08/355.24
  6. Step 6: Final answer
    x = 499.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.