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Finding the Fourth Proportional to 317.40, 476.10 and 266.10

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Solution

The fourth proportional to 317.40, 476.10 and 266.10 is: 399.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.40 : 476.10 = 266.10 : x
  2. Step 2: Convert to fraction form
    317.40/476.10 = 266.10/x
  3. Step 3: Cross multiply
    317.40x = 476.10 × 266.10
  4. Step 4: Simplify right side
    317.40x = 126,690.21
  5. Step 5: Solve for x
    x = 126,690.21/317.40
  6. Step 6: Final answer
    x = 399.15

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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.