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Finding the Fourth Proportional to 306, 455.58 and 302.36

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Solution

The fourth proportional to 306, 455.58 and 302.36 is: 450.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    306 : 455.58 = 302.36 : x
  2. Step 2: Convert to fraction form
    306/455.58 = 302.36/x
  3. Step 3: Cross multiply
    306x = 455.58 × 302.36
  4. Step 4: Simplify right side
    306x = 137,749.17
  5. Step 5: Solve for x
    x = 137,749.17/306
  6. Step 6: Final answer
    x = 450.16

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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.