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Finding the Fourth Proportional to 704.64, 1,056.05 and 334.32

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Solution

The fourth proportional to 704.64, 1,056.05 and 334.32 is: 501.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.64 : 1,056.05 = 334.32 : x
  2. Step 2: Convert to fraction form
    704.64/1,056.05 = 334.32/x
  3. Step 3: Cross multiply
    704.64x = 1,056.05 × 334.32
  4. Step 4: Simplify right side
    704.64x = 353,056.96
  5. Step 5: Solve for x
    x = 353,056.96/704.64
  6. Step 6: Final answer
    x = 501.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.