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Finding the Fourth Proportional to 617.74, 927.06 and 497.45

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Solution

The fourth proportional to 617.74, 927.06 and 497.45 is: 746.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.74 : 927.06 = 497.45 : x
  2. Step 2: Convert to fraction form
    617.74/927.06 = 497.45/x
  3. Step 3: Cross multiply
    617.74x = 927.06 × 497.45
  4. Step 4: Simplify right side
    617.74x = 461,166.00
  5. Step 5: Solve for x
    x = 461,166.00/617.74
  6. Step 6: Final answer
    x = 746.54

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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.