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Finding the Fourth Proportional to 639.42, 883.41 and 507.63

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Solution

The fourth proportional to 639.42, 883.41 and 507.63 is: 701.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.42 : 883.41 = 507.63 : x
  2. Step 2: Convert to fraction form
    639.42/883.41 = 507.63/x
  3. Step 3: Cross multiply
    639.42x = 883.41 × 507.63
  4. Step 4: Simplify right side
    639.42x = 448,445.42
  5. Step 5: Solve for x
    x = 448,445.42/639.42
  6. Step 6: Final answer
    x = 701.33

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