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Finding the Fourth Proportional to 473.89, 710.32 and 268.41

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Solution

The fourth proportional to 473.89, 710.32 and 268.41 is: 402.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.89 : 710.32 = 268.41 : x
  2. Step 2: Convert to fraction form
    473.89/710.32 = 268.41/x
  3. Step 3: Cross multiply
    473.89x = 710.32 × 268.41
  4. Step 4: Simplify right side
    473.89x = 190,656.99
  5. Step 5: Solve for x
    x = 190,656.99/473.89
  6. Step 6: Final answer
    x = 402.32

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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.