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Finding the Fourth Proportional to 302.36, 450.88 and 285.68

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Solution

The fourth proportional to 302.36, 450.88 and 285.68 is: 426.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.36 : 450.88 = 285.68 : x
  2. Step 2: Convert to fraction form
    302.36/450.88 = 285.68/x
  3. Step 3: Cross multiply
    302.36x = 450.88 × 285.68
  4. Step 4: Simplify right side
    302.36x = 128,807.81
  5. Step 5: Solve for x
    x = 128,807.81/302.36
  6. Step 6: Final answer
    x = 426.02

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.