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Finding the Fourth Proportional to 530.53, 732.23 and 343.92

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Solution

The fourth proportional to 530.53, 732.23 and 343.92 is: 474.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.53 : 732.23 = 343.92 : x
  2. Step 2: Convert to fraction form
    530.53/732.23 = 343.92/x
  3. Step 3: Cross multiply
    530.53x = 732.23 × 343.92
  4. Step 4: Simplify right side
    530.53x = 251,828.54
  5. Step 5: Solve for x
    x = 251,828.54/530.53
  6. Step 6: Final answer
    x = 474.67

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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.