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Finding the Fourth Proportional to 317.40, 476.30 and 302.42

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Solution

The fourth proportional to 317.40, 476.30 and 302.42 is: 453.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.40 : 476.30 = 302.42 : x
  2. Step 2: Convert to fraction form
    317.40/476.30 = 302.42/x
  3. Step 3: Cross multiply
    317.40x = 476.30 × 302.42
  4. Step 4: Simplify right side
    317.40x = 144,042.65
  5. Step 5: Solve for x
    x = 144,042.65/317.40
  6. Step 6: Final answer
    x = 453.82

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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.