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Finding the Fourth Proportional to 473.44, 709.44 and 351.13

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Solution

The fourth proportional to 473.44, 709.44 and 351.13 is: 526.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.44 : 709.44 = 351.13 : x
  2. Step 2: Convert to fraction form
    473.44/709.44 = 351.13/x
  3. Step 3: Cross multiply
    473.44x = 709.44 × 351.13
  4. Step 4: Simplify right side
    473.44x = 249,105.67
  5. Step 5: Solve for x
    x = 249,105.67/473.44
  6. Step 6: Final answer
    x = 526.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.