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Finding the Fourth Proportional to 459.64, 632.91 and 385.66

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Solution

The fourth proportional to 459.64, 632.91 and 385.66 is: 531.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.64 : 632.91 = 385.66 : x
  2. Step 2: Convert to fraction form
    459.64/632.91 = 385.66/x
  3. Step 3: Cross multiply
    459.64x = 632.91 × 385.66
  4. Step 4: Simplify right side
    459.64x = 244,088.07
  5. Step 5: Solve for x
    x = 244,088.07/459.64
  6. Step 6: Final answer
    x = 531.04

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Why These Related Problems?

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