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Finding the Fourth Proportional to 665.15, 917.63 and 454.98

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Solution

The fourth proportional to 665.15, 917.63 and 454.98 is: 627.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.15 : 917.63 = 454.98 : x
  2. Step 2: Convert to fraction form
    665.15/917.63 = 454.98/x
  3. Step 3: Cross multiply
    665.15x = 917.63 × 454.98
  4. Step 4: Simplify right side
    665.15x = 417,506.17
  5. Step 5: Solve for x
    x = 417,506.17/665.15
  6. Step 6: Final answer
    x = 627.69

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