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Finding the Fourth Proportional to 483.96, 666.54 and 459.24

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Solution

The fourth proportional to 483.96, 666.54 and 459.24 is: 632.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.96 : 666.54 = 459.24 : x
  2. Step 2: Convert to fraction form
    483.96/666.54 = 459.24/x
  3. Step 3: Cross multiply
    483.96x = 666.54 × 459.24
  4. Step 4: Simplify right side
    483.96x = 306,101.83
  5. Step 5: Solve for x
    x = 306,101.83/483.96
  6. Step 6: Final answer
    x = 632.49

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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.