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Finding the Fourth Proportional to 707.10, 1,060.46 and 296

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Solution

The fourth proportional to 707.10, 1,060.46 and 296 is: 443.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.10 : 1,060.46 = 296 : x
  2. Step 2: Convert to fraction form
    707.10/1,060.46 = 296/x
  3. Step 3: Cross multiply
    707.10x = 1,060.46 × 296
  4. Step 4: Simplify right side
    707.10x = 313,896.16
  5. Step 5: Solve for x
    x = 313,896.16/707.10
  6. Step 6: Final answer
    x = 443.92

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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.