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Finding the Fourth Proportional to 704.35, 1,056.74 and 339.15

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Solution

The fourth proportional to 704.35, 1,056.74 and 339.15 is: 508.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.35 : 1,056.74 = 339.15 : x
  2. Step 2: Convert to fraction form
    704.35/1,056.74 = 339.15/x
  3. Step 3: Cross multiply
    704.35x = 1,056.74 × 339.15
  4. Step 4: Simplify right side
    704.35x = 358,391.68
  5. Step 5: Solve for x
    x = 358,391.68/704.35
  6. Step 6: Final answer
    x = 508.83

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Why These Related Problems?

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