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Finding the Fourth Proportional to 473.20, 652.26 and 317.68

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Solution

The fourth proportional to 473.20, 652.26 and 317.68 is: 437.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.20 : 652.26 = 317.68 : x
  2. Step 2: Convert to fraction form
    473.20/652.26 = 317.68/x
  3. Step 3: Cross multiply
    473.20x = 652.26 × 317.68
  4. Step 4: Simplify right side
    473.20x = 207,209.96
  5. Step 5: Solve for x
    x = 207,209.96/473.20
  6. Step 6: Final answer
    x = 437.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.