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Finding the Fourth Proportional to 584.14, 875.66 and 309.86

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Solution

The fourth proportional to 584.14, 875.66 and 309.86 is: 464.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.14 : 875.66 = 309.86 : x
  2. Step 2: Convert to fraction form
    584.14/875.66 = 309.86/x
  3. Step 3: Cross multiply
    584.14x = 875.66 × 309.86
  4. Step 4: Simplify right side
    584.14x = 271,332.01
  5. Step 5: Solve for x
    x = 271,332.01/584.14
  6. Step 6: Final answer
    x = 464.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.