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Finding the Fourth Proportional to 507.27, 699.61 and 428.77

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Solution

The fourth proportional to 507.27, 699.61 and 428.77 is: 591.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.27 : 699.61 = 428.77 : x
  2. Step 2: Convert to fraction form
    507.27/699.61 = 428.77/x
  3. Step 3: Cross multiply
    507.27x = 699.61 × 428.77
  4. Step 4: Simplify right side
    507.27x = 299,971.78
  5. Step 5: Solve for x
    x = 299,971.78/507.27
  6. Step 6: Final answer
    x = 591.35

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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.