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Finding the Fourth Proportional to 706.02, 974 and 440.28

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Solution

The fourth proportional to 706.02, 974 and 440.28 is: 607.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.02 : 974 = 440.28 : x
  2. Step 2: Convert to fraction form
    706.02/974 = 440.28/x
  3. Step 3: Cross multiply
    706.02x = 974 × 440.28
  4. Step 4: Simplify right side
    706.02x = 428,832.72
  5. Step 5: Solve for x
    x = 428,832.72/706.02
  6. Step 6: Final answer
    x = 607.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.