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Finding the Fourth Proportional to 317.77, 476.64 and 282.13

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Solution

The fourth proportional to 317.77, 476.64 and 282.13 is: 423.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.77 : 476.64 = 282.13 : x
  2. Step 2: Convert to fraction form
    317.77/476.64 = 282.13/x
  3. Step 3: Cross multiply
    317.77x = 476.64 × 282.13
  4. Step 4: Simplify right side
    317.77x = 134,473.25
  5. Step 5: Solve for x
    x = 134,473.25/317.77
  6. Step 6: Final answer
    x = 423.18

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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.