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Finding the Fourth Proportional to 302.66, 416.92 and 283.53

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Solution

The fourth proportional to 302.66, 416.92 and 283.53 is: 390.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.66 : 416.92 = 283.53 : x
  2. Step 2: Convert to fraction form
    302.66/416.92 = 283.53/x
  3. Step 3: Cross multiply
    302.66x = 416.92 × 283.53
  4. Step 4: Simplify right side
    302.66x = 118,207.99
  5. Step 5: Solve for x
    x = 118,207.99/302.66
  6. Step 6: Final answer
    x = 390.56

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Why These Related Problems?

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