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Finding the Fourth Proportional to 507.22, 699.12 and 402.12

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Solution

The fourth proportional to 507.22, 699.12 and 402.12 is: 554.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.22 : 699.12 = 402.12 : x
  2. Step 2: Convert to fraction form
    507.22/699.12 = 402.12/x
  3. Step 3: Cross multiply
    507.22x = 699.12 × 402.12
  4. Step 4: Simplify right side
    507.22x = 281,130.13
  5. Step 5: Solve for x
    x = 281,130.13/507.22
  6. Step 6: Final answer
    x = 554.26

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Why These Related Problems?

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