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Finding the Fourth Proportional to 712.32, 1,068.08 and 295.58

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Solution

The fourth proportional to 712.32, 1,068.08 and 295.58 is: 443.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.32 : 1,068.08 = 295.58 : x
  2. Step 2: Convert to fraction form
    712.32/1,068.08 = 295.58/x
  3. Step 3: Cross multiply
    712.32x = 1,068.08 × 295.58
  4. Step 4: Simplify right side
    712.32x = 315,696.27
  5. Step 5: Solve for x
    x = 315,696.27/712.32
  6. Step 6: Final answer
    x = 443.19

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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.