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Finding the Fourth Proportional to 507.62, 700.50 and 333.02

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Solution

The fourth proportional to 507.62, 700.50 and 333.02 is: 459.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.62 : 700.50 = 333.02 : x
  2. Step 2: Convert to fraction form
    507.62/700.50 = 333.02/x
  3. Step 3: Cross multiply
    507.62x = 700.50 × 333.02
  4. Step 4: Simplify right side
    507.62x = 233,280.51
  5. Step 5: Solve for x
    x = 233,280.51/507.62
  6. Step 6: Final answer
    x = 459.56

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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.