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Finding the Fourth Proportional to 405.64, 607.85 and 302.44

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Solution

The fourth proportional to 405.64, 607.85 and 302.44 is: 453.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.64 : 607.85 = 302.44 : x
  2. Step 2: Convert to fraction form
    405.64/607.85 = 302.44/x
  3. Step 3: Cross multiply
    405.64x = 607.85 × 302.44
  4. Step 4: Simplify right side
    405.64x = 183,833.60
  5. Step 5: Solve for x
    x = 183,833.60/405.64
  6. Step 6: Final answer
    x = 453.20

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