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Finding the Fourth Proportional to 507.53, 701.50 and 448.06

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Solution

The fourth proportional to 507.53, 701.50 and 448.06 is: 619.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.53 : 701.50 = 448.06 : x
  2. Step 2: Convert to fraction form
    507.53/701.50 = 448.06/x
  3. Step 3: Cross multiply
    507.53x = 701.50 × 448.06
  4. Step 4: Simplify right side
    507.53x = 314,314.09
  5. Step 5: Solve for x
    x = 314,314.09/507.53
  6. Step 6: Final answer
    x = 619.30

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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.