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Finding the Fourth Proportional to 322.53, 484.25 and 317.06

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Solution

The fourth proportional to 322.53, 484.25 and 317.06 is: 476.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.53 : 484.25 = 317.06 : x
  2. Step 2: Convert to fraction form
    322.53/484.25 = 317.06/x
  3. Step 3: Cross multiply
    322.53x = 484.25 × 317.06
  4. Step 4: Simplify right side
    322.53x = 153,534.11
  5. Step 5: Solve for x
    x = 153,534.11/322.53
  6. Step 6: Final answer
    x = 476.04

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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.