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Finding the Fourth Proportional to 467.10, 640.07 and 450.10

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Solution

The fourth proportional to 467.10, 640.07 and 450.10 is: 616.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.10 : 640.07 = 450.10 : x
  2. Step 2: Convert to fraction form
    467.10/640.07 = 450.10/x
  3. Step 3: Cross multiply
    467.10x = 640.07 × 450.10
  4. Step 4: Simplify right side
    467.10x = 288,095.51
  5. Step 5: Solve for x
    x = 288,095.51/467.10
  6. Step 6: Final answer
    x = 616.77

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.