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Finding the Fourth Proportional to 705.20, 1,056.61 and 339.19

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Solution

The fourth proportional to 705.20, 1,056.61 and 339.19 is: 508.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.20 : 1,056.61 = 339.19 : x
  2. Step 2: Convert to fraction form
    705.20/1,056.61 = 339.19/x
  3. Step 3: Cross multiply
    705.20x = 1,056.61 × 339.19
  4. Step 4: Simplify right side
    705.20x = 358,391.55
  5. Step 5: Solve for x
    x = 358,391.55/705.20
  6. Step 6: Final answer
    x = 508.21

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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.