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Finding the Fourth Proportional to 302.04, 452.34 and 256.68

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Solution

The fourth proportional to 302.04, 452.34 and 256.68 is: 384.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.04 : 452.34 = 256.68 : x
  2. Step 2: Convert to fraction form
    302.04/452.34 = 256.68/x
  3. Step 3: Cross multiply
    302.04x = 452.34 × 256.68
  4. Step 4: Simplify right side
    302.04x = 116,106.63
  5. Step 5: Solve for x
    x = 116,106.63/302.04
  6. Step 6: Final answer
    x = 384.41

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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.