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Finding the Fourth Proportional to 495.81, 744.12 and 358.92

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Solution

The fourth proportional to 495.81, 744.12 and 358.92 is: 538.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.81 : 744.12 = 358.92 : x
  2. Step 2: Convert to fraction form
    495.81/744.12 = 358.92/x
  3. Step 3: Cross multiply
    495.81x = 744.12 × 358.92
  4. Step 4: Simplify right side
    495.81x = 267,079.55
  5. Step 5: Solve for x
    x = 267,079.55/495.81
  6. Step 6: Final answer
    x = 538.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.