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Finding the Fourth Proportional to 507.84, 699.78 and 389.80

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Solution

The fourth proportional to 507.84, 699.78 and 389.80 is: 537.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.84 : 699.78 = 389.80 : x
  2. Step 2: Convert to fraction form
    507.84/699.78 = 389.80/x
  3. Step 3: Cross multiply
    507.84x = 699.78 × 389.80
  4. Step 4: Simplify right side
    507.84x = 272,774.24
  5. Step 5: Solve for x
    x = 272,774.24/507.84
  6. Step 6: Final answer
    x = 537.13

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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.