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Finding the Fourth Proportional to 459, 632.80 and 341.04

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Solution

The fourth proportional to 459, 632.80 and 341.04 is: 470.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    459 : 632.80 = 341.04 : x
  2. Step 2: Convert to fraction form
    459/632.80 = 341.04/x
  3. Step 3: Cross multiply
    459x = 632.80 × 341.04
  4. Step 4: Simplify right side
    459x = 215,810.11
  5. Step 5: Solve for x
    x = 215,810.11/459
  6. Step 6: Final answer
    x = 470.17

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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.