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Finding the Fourth Proportional to 459.29, 633.77 and 260.13

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Solution

The fourth proportional to 459.29, 633.77 and 260.13 is: 358.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.29 : 633.77 = 260.13 : x
  2. Step 2: Convert to fraction form
    459.29/633.77 = 260.13/x
  3. Step 3: Cross multiply
    459.29x = 633.77 × 260.13
  4. Step 4: Simplify right side
    459.29x = 164,863.24
  5. Step 5: Solve for x
    x = 164,863.24/459.29
  6. Step 6: Final answer
    x = 358.96

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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.