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Finding the Fourth Proportional to 405.59, 559.50 and 307.17

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Solution

The fourth proportional to 405.59, 559.50 and 307.17 is: 423.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.59 : 559.50 = 307.17 : x
  2. Step 2: Convert to fraction form
    405.59/559.50 = 307.17/x
  3. Step 3: Cross multiply
    405.59x = 559.50 × 307.17
  4. Step 4: Simplify right side
    405.59x = 171,861.62
  5. Step 5: Solve for x
    x = 171,861.62/405.59
  6. Step 6: Final answer
    x = 423.74

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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.