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Finding the Fourth Proportional to 665.02, 916.98 and 455.32

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Solution

The fourth proportional to 665.02, 916.98 and 455.32 is: 627.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.02 : 916.98 = 455.32 : x
  2. Step 2: Convert to fraction form
    665.02/916.98 = 455.32/x
  3. Step 3: Cross multiply
    665.02x = 916.98 × 455.32
  4. Step 4: Simplify right side
    665.02x = 417,519.33
  5. Step 5: Solve for x
    x = 417,519.33/665.02
  6. Step 6: Final answer
    x = 627.83

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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.