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Finding the Fourth Proportional to 610.76, 917.58 and 497.48

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Solution

The fourth proportional to 610.76, 917.58 and 497.48 is: 747.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.76 : 917.58 = 497.48 : x
  2. Step 2: Convert to fraction form
    610.76/917.58 = 497.48/x
  3. Step 3: Cross multiply
    610.76x = 917.58 × 497.48
  4. Step 4: Simplify right side
    610.76x = 456,477.70
  5. Step 5: Solve for x
    x = 456,477.70/610.76
  6. Step 6: Final answer
    x = 747.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.