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Finding the Fourth Proportional to 459.29, 633.71 and 293.74

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Solution

The fourth proportional to 459.29, 633.71 and 293.74 is: 405.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.29 : 633.71 = 293.74 : x
  2. Step 2: Convert to fraction form
    459.29/633.71 = 293.74/x
  3. Step 3: Cross multiply
    459.29x = 633.71 × 293.74
  4. Step 4: Simplify right side
    459.29x = 186,145.13
  5. Step 5: Solve for x
    x = 186,145.13/459.29
  6. Step 6: Final answer
    x = 405.29

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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.