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Finding the Fourth Proportional to 710.39, 1,064.04 and 344.41

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Solution

The fourth proportional to 710.39, 1,064.04 and 344.41 is: 515.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.39 : 1,064.04 = 344.41 : x
  2. Step 2: Convert to fraction form
    710.39/1,064.04 = 344.41/x
  3. Step 3: Cross multiply
    710.39x = 1,064.04 × 344.41
  4. Step 4: Simplify right side
    710.39x = 366,466.02
  5. Step 5: Solve for x
    x = 366,466.02/710.39
  6. Step 6: Final answer
    x = 515.87

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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.