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Finding the Fourth Proportional to 473.10, 710.25 and 396.55

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Solution

The fourth proportional to 473.10, 710.25 and 396.55 is: 595.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.10 : 710.25 = 396.55 : x
  2. Step 2: Convert to fraction form
    473.10/710.25 = 396.55/x
  3. Step 3: Cross multiply
    473.10x = 710.25 × 396.55
  4. Step 4: Simplify right side
    473.10x = 281,649.64
  5. Step 5: Solve for x
    x = 281,649.64/473.10
  6. Step 6: Final answer
    x = 595.33

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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.