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Finding the Fourth Proportional to 476.46, 657.59 and 301.91

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Solution

The fourth proportional to 476.46, 657.59 and 301.91 is: 416.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.46 : 657.59 = 301.91 : x
  2. Step 2: Convert to fraction form
    476.46/657.59 = 301.91/x
  3. Step 3: Cross multiply
    476.46x = 657.59 × 301.91
  4. Step 4: Simplify right side
    476.46x = 198,528.20
  5. Step 5: Solve for x
    x = 198,528.20/476.46
  6. Step 6: Final answer
    x = 416.67

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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.