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Finding the Fourth Proportional to 459.24, 632.58 and 328.02

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Solution

The fourth proportional to 459.24, 632.58 and 328.02 is: 451.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.24 : 632.58 = 328.02 : x
  2. Step 2: Convert to fraction form
    459.24/632.58 = 328.02/x
  3. Step 3: Cross multiply
    459.24x = 632.58 × 328.02
  4. Step 4: Simplify right side
    459.24x = 207,498.89
  5. Step 5: Solve for x
    x = 207,498.89/459.24
  6. Step 6: Final answer
    x = 451.83

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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.