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Finding the Fourth Proportional to 473.62, 710.43 and 230.08

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Solution

The fourth proportional to 473.62, 710.43 and 230.08 is: 345.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.62 : 710.43 = 230.08 : x
  2. Step 2: Convert to fraction form
    473.62/710.43 = 230.08/x
  3. Step 3: Cross multiply
    473.62x = 710.43 × 230.08
  4. Step 4: Simplify right side
    473.62x = 163,455.73
  5. Step 5: Solve for x
    x = 163,455.73/473.62
  6. Step 6: Final answer
    x = 345.12

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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.