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Finding the Fourth Proportional to 405.66, 559.67 and 322.50

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Solution

The fourth proportional to 405.66, 559.67 and 322.50 is: 444.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.66 : 559.67 = 322.50 : x
  2. Step 2: Convert to fraction form
    405.66/559.67 = 322.50/x
  3. Step 3: Cross multiply
    405.66x = 559.67 × 322.50
  4. Step 4: Simplify right side
    405.66x = 180,491.96
  5. Step 5: Solve for x
    x = 180,491.96/405.66
  6. Step 6: Final answer
    x = 444.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.