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Finding the Fourth Proportional to 459.13, 633.59 and 252.13

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Solution

The fourth proportional to 459.13, 633.59 and 252.13 is: 347.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.13 : 633.59 = 252.13 : x
  2. Step 2: Convert to fraction form
    459.13/633.59 = 252.13/x
  3. Step 3: Cross multiply
    459.13x = 633.59 × 252.13
  4. Step 4: Simplify right side
    459.13x = 159,744.51
  5. Step 5: Solve for x
    x = 159,744.51/459.13
  6. Step 6: Final answer
    x = 347.93

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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.