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Finding the Fourth Proportional to 459.84, 633.87 and 366.44

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Solution

The fourth proportional to 459.84, 633.87 and 366.44 is: 505.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.84 : 633.87 = 366.44 : x
  2. Step 2: Convert to fraction form
    459.84/633.87 = 366.44/x
  3. Step 3: Cross multiply
    459.84x = 633.87 × 366.44
  4. Step 4: Simplify right side
    459.84x = 232,275.32
  5. Step 5: Solve for x
    x = 232,275.32/459.84
  6. Step 6: Final answer
    x = 505.12

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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.