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Finding the Fourth Proportional to 507.10, 699.68 and 320.80

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Solution

The fourth proportional to 507.10, 699.68 and 320.80 is: 442.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.10 : 699.68 = 320.80 : x
  2. Step 2: Convert to fraction form
    507.10/699.68 = 320.80/x
  3. Step 3: Cross multiply
    507.10x = 699.68 × 320.80
  4. Step 4: Simplify right side
    507.10x = 224,457.34
  5. Step 5: Solve for x
    x = 224,457.34/507.10
  6. Step 6: Final answer
    x = 442.63

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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.