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Finding the Fourth Proportional to 459.76, 633.10 and 409.24

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Solution

The fourth proportional to 459.76, 633.10 and 409.24 is: 563.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.76 : 633.10 = 409.24 : x
  2. Step 2: Convert to fraction form
    459.76/633.10 = 409.24/x
  3. Step 3: Cross multiply
    459.76x = 633.10 × 409.24
  4. Step 4: Simplify right side
    459.76x = 259,089.84
  5. Step 5: Solve for x
    x = 259,089.84/459.76
  6. Step 6: Final answer
    x = 563.53

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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.