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Finding the Fourth Proportional to 459.07, 633.59 and 341.82

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Solution

The fourth proportional to 459.07, 633.59 and 341.82 is: 471.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.07 : 633.59 = 341.82 : x
  2. Step 2: Convert to fraction form
    459.07/633.59 = 341.82/x
  3. Step 3: Cross multiply
    459.07x = 633.59 × 341.82
  4. Step 4: Simplify right side
    459.07x = 216,572.02
  5. Step 5: Solve for x
    x = 216,572.02/459.07
  6. Step 6: Final answer
    x = 471.77

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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.