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Finding the Fourth Proportional to 507.05, 697.98 and 382.51

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Solution

The fourth proportional to 507.05, 697.98 and 382.51 is: 526.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.05 : 697.98 = 382.51 : x
  2. Step 2: Convert to fraction form
    507.05/697.98 = 382.51/x
  3. Step 3: Cross multiply
    507.05x = 697.98 × 382.51
  4. Step 4: Simplify right side
    507.05x = 266,984.33
  5. Step 5: Solve for x
    x = 266,984.33/507.05
  6. Step 6: Final answer
    x = 526.54

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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.