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Finding the Fourth Proportional to 610.53, 842.58 and 348.59

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Solution

The fourth proportional to 610.53, 842.58 and 348.59 is: 481.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.53 : 842.58 = 348.59 : x
  2. Step 2: Convert to fraction form
    610.53/842.58 = 348.59/x
  3. Step 3: Cross multiply
    610.53x = 842.58 × 348.59
  4. Step 4: Simplify right side
    610.53x = 293,710.75
  5. Step 5: Solve for x
    x = 293,710.75/610.53
  6. Step 6: Final answer
    x = 481.08

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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.